Idun Reiten
#38,946
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Norwegian mathematician
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Idun Reitenmathematics Degrees
Mathematics
#2452
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#3787
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Measure Theory
#1893
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#2306
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Mathematics
Why Is Idun Reiten Influential?
(Suggest an Edit or Addition)According to Wikipedia, Idun Reiten is a Norwegian professor of mathematics. She is considered to be one of Norway's greatest mathematicians today. Career She took her PhD degree at the University of Illinois in 1971. She was appointed as a professor at the University of Trondheim in 1982, now named the Norwegian University of Science and Technology.
Idun Reiten's Published Works
Published Works
- Representation Theory of Artin Algebras: Contents (1995) (1021)
- Tilting theory and cluster combinatorics (2004) (940)
- Applications of contravariantly finite subcategories (1991) (679)
- Tilting in Abelian Categories and Quasitilted Algebras (1996) (636)
- Homological and Homotopical Aspects of Torsion Theories (2007) (428)
- Representation theory of artin algebras iii almost split sequences (1975) (407)
- Cluster-tilted algebras are Gorenstein and stably Calabi–Yau (2005) (386)
- Cluster-tilted algebras (2004) (326)
- Noetherian hereditary abelian categories satisfying Serre duality (2002) (309)
- Cluster structures for 2-Calabi–Yau categories and unipotent groups (2007) (296)
- Trivial Extensions of Abelian Categories (1975) (286)
- Coxeter functors without diagrams (1979) (278)
- Representation theory of artin algebras IV1)Invariants given by almost split sequences (1977) (204)
- Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras (2006) (183)
- CLUSTER MUTATION VIA QUIVER REPRESENTATIONS (2004) (182)
- Stable equivalence of dualizing R-varieties* (1974) (179)
- On a generalized version of the Nakayama conjecture (1975) (178)
- Skew group algebras in the representation theory of artin algebras (1985) (167)
- $\tau $-tilting theory (2012) (144)
- Mutation of cluster-tilting objects and potentials (2008) (138)
- Cohen-Macaulay and Gorenstein Artin algebras (1991) (131)
- Acyclic Calabi–Yau categories (2006) (125)
- Cluster tilting for one-dimensional hypersurface singularities (2007) (124)
- Cluster-tilted algebras of finite representation type (2005) (113)
- Stable equivalence of artin algebras (1973) (111)
- The converse to a theorem of Sharp on Gorenstein modules (1972) (109)
- Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms (1977) (98)
- Clusters and seeds in acyclic cluster algebras (2005) (94)
- Modules determined by their composition factors (1985) (88)
- Trivial extensions of Abelian categories : homological algebra of trivial extensions of Abelian categories with applications to ring theory (1975) (88)
- k-Gorenstein algebras and syzygy modules (1994) (84)
- Syzygy Modules for Noetherian Rings (1996) (82)
- Minimal injective resolutions with applications to dualizing modules and gorenstein modules (1975) (82)
- Piecewise hereditary algebras (1996) (77)
- Lattice theory of torsion classes (2017) (76)
- Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday (2011) (64)
- Exact categories and vector space categories (1999) (60)
- Infinite Dimensional Representations of Canonical Algebras (2002) (59)
- Acyclic Calabi-yau Categories with an Appendix by Michel Van Den Bergh (2006) (55)
- Wakamatsu tilting modules (2004) (49)
- Cluster categories (2010) (47)
- Grothendieck groups of algebras and orders (1986) (45)
- Short chains and short cycles of modules (1993) (44)
- Hereditary noetherian categories of positive Euler characteristic (2006) (44)
- Hereditary abelian categories with tilting object over arbitrary base fields (2002) (43)
- Preprojective algebras and c‐sortable words (2010) (42)
- Lattice structure of torsion classes for path algebras (2013) (42)
- Gentle algebras are Gorenstein (42)
- Characterizations of algebras with small homological dimensions (2003) (42)
- Generalized double tilted algebras (2004) (41)
- McKay quivers and extended Dynkin diagrams (1986) (41)
- The Cohen-Macaulay type of Cohen-Macaulay rings (1989) (40)
- Dualities on Generalized Koszul Algebras (2002) (39)
- Denominators of cluster variables (2007) (36)
- Almost split sequences for rational double points (1987) (35)
- Note on rings of finite representation type and decompositions of modules (1975) (35)
- Lattice structure of Weyl groups via representation theory of preprojective algebras (2016) (34)
- Selected works of Maurice Auslander (1999) (34)
- Three kinds of mutation (2010) (32)
- The ubiquity of generalized cluster categories (2009) (31)
- From m-clusters to m-noncrossing partitions via exceptional sequences (2010) (30)
- Almost split sequences for Cohen-Macaulay-modules (1987) (30)
- Acyclic quivers of finite mutation type (2006) (30)
- On Modules with Linear Presentations (1998) (29)
- MODULES OF FINITE PROJECTIVE DIMENSION FOR STANDARDLY STRATIFIED ALGEBRAS (2001) (28)
- On the Representation Type of Triangular Matrix Rings (1976) (28)
- Cohen-Macaulay Modules for Graded Cohen-Macaulay Rings and their Completions (1989) (28)
- The use of almost split sequences in the representation theory of artin algebras (1982) (28)
- Introduction to τ-tilting theory (2013) (27)
- From tilted to cluster-tilted algebras of Dynkin type (2005) (27)
- Quotient closed subcategories of quiver representations (2012) (26)
- Almost split sequences for ℤ-graded rings (1987) (26)
- Representation Theory of Finite-Dimensional Algebras (2005) (26)
- Tilting theory and cluster algebras (2010) (26)
- Bounded derived categories and repetitive algebras (2007) (26)
- Stable equivalence of self-injective algebras (1976) (25)
- Noetherian hereditary categories satisfying Serre duality (1999) (25)
- Hereditary categories with tilting object (1999) (24)
- Dominant dimension and tilting modules (2017) (24)
- Grothendieck Groups and Tilting Objects (2000) (23)
- Tame concealed algebras and cluster quivers of minimal infinite type (2005) (22)
- Galois actions on rings and finite Galois coverings. (1989) (22)
- 2-Auslander algebras associated with reduced words in Coxeter groups (2010) (20)
- Almost split sequences in dimension two (1987) (19)
- On Schur algebras and related algebras V: some quasi-hereditary algebras of finite type (1994) (19)
- Almost split sequences for group algebras of finite representation type (1977) (18)
- Modules with waists (1975) (18)
- Trisections of module categories (2007) (18)
- Handbook of Tilting Theory: Tilting theory and homologically finite subcategories with applications to quasihereditary algebras (2007) (17)
- Stable equivalence of dualizing R-varieties. V. Artin algebras stably equivalent to hereditary algebras (1975) (17)
- Short chains and regular components (1993) (16)
- An Introduction to the Representation Theory of Artin Algebras (1985) (14)
- Stable equivalence of dualizing -varieties. II. Hereditary dualizing -varieties (1975) (14)
- Stable equivalence of dualizing R-varieties. III. Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties☆ (1975) (13)
- Commutative $n$-Gorenstein Rings. (1972) (12)
- Trivial extensions and Gorenstein rings (1971) (12)
- Abelian categories, almost split sequences, and comodules (2004) (11)
- Cluster algebras associated with extended Dynkin quivers (2005) (10)
- On the construction of ring extensions (1976) (10)
- Finite dimensional algebras and singularities (1987) (10)
- Algebras, Quivers and Representations (2013) (9)
- TRIVIAL EXTENSIONS OF ABELIAN CATEGORIES AND APPLICATIONS TO RINGS: AN EXPOSITORY ACCOUNT (1972) (9)
- Grothendieck groups of algebras with nilpotent annihilators (1988) (6)
- Stable equivalence of dualizing -varieties. VI. Nakayama dualizing -varieties (1975) (6)
- Algebras of finite representation type arising from maximal rigid objects (2015) (6)
- Calabi-Yau tilted algebras (2010) (5)
- Stable equivalence for some categories with radical square zero (1975) (5)
- $m$-noncrossing partitions and $m$-clusters (2009) (5)
- Stable equivalence of dualizing R-varieties. IV. Higher global dimension (1975) (5)
- Periodic modules over weakly symmetric algebras (1977) (5)
- Tame Concealed Algebras and Cluster Algebras of Minimal Infinite Type (5)
- Cohen-macaulay modules over isolated singularities (1986) (4)
- Generalized stable equivalence and group algebras (1982) (4)
- Almost split sequences for abelian group graded rings (1988) (4)
- Additive functions for quivers with relations (1999) (4)
- Lattice theory of torsion classes: Beyond $\tau$-tilting theory (2017) (4)
- Tilting Theory and Quasitilted Algebras (1998) (4)
- A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line (2001) (3)
- Graded modules and their completions (1990) (3)
- A note on stable equivalence and Nakayama algebras (1978) (3)
- Correction to my paper on Nakayama R-varieties (1977) (3)
- Rigid and Schurian modules over cluster-tilted algebras of tame type (2014) (2)
- Lattice theory of torsion classes: Beyond 𝜏-tilting theory (2023) (2)
- 2-Calabi-Yau tilted algebras (2011) (2)
- Hereditary Abelian Categories and Almost Split Sequences (2001) (2)
- Homological dimensions in A ⋉ F (1975) (1)
- Representation Theory of Artin Algebras: Modules determining morphisms (1995) (1)
- Algebras stably equivalent to Nakayama algebras of Loewy length at most 4 (1979) (1)
- Modules having waists (1975) (1)
- Rigid and Schurian modules over cluster-tilted algebras of tame type (2016) (1)
- Representation Theory of Artin Algebras: Conjectures (1995) (1)
- Representation dimension of finite algebras (1975) (0)
- Inner products on a Green ring for finite groups with a cyclic $P$-sylow subgroup (1985) (0)
- noncrossing partitions and m-clusters (2009) (0)
- Finite representation type (1995) (0)
- Duality and the Gorenstein property (1975) (0)
- Infinite Dimensional Representations of (2006) (0)
- McKay correspondence and higher Auslander and preprojective algebras (2012) (0)
- GROTHENDIECK GROUPS OF ALGEBRAS (2010) (0)
- Workshop on Representations of Algebras and Related Topics, July 29-August 3, 1996, Trondheim, Norway (1998) (0)
- Fundamental domains of cluster categories inside module categories (2011) (0)
- COMPOSITIO MATHEMATICA 150 ( 2014 ) , 415 { 452 τ-tilting theory (2013) (0)
- Representation Theory of Artin Algebras: Hereditary algebras (1995) (0)
- Dominant dimension of finite algebras (1975) (0)
- Representation Theory of Artin Algebras: Short chains and cycles (1995) (0)
- Representation Theory of Artin Algebras: Notation (1995) (0)
- Fe b 20 07 BOUNDED DERIVED CATEGORIES AND REPETITIVE ALGEBRAS (2020) (0)
- Dynkin and Extended Dynkin Diagrams (2014) (0)
- Representation Theory of Artin Algebras: The transpose and the dual (1995) (0)
- Representation Theory of Artin Algebras: Stable equivalence (1995) (0)
- Dominant dimension and tilting modules (2018) (0)
- A pr 2 01 1 MUTATION OF CLUSTER-TILTING OBJECTS AND POTENTIALS (2021) (0)
- Representation Theory of Artin Algebras: Bibliography (1995) (0)
- A combinatorial characterization of hereditary categories containing simple objects (2019) (0)
- Representation Theory of Artin Algebras: Examples of algebras and modules (1995) (0)
- Relevant conference proceedings (1995) (0)
- Eighth International Conference on Representations of Algebras, August 4-10, 1996, Geiranger, Norway (1998) (0)
- Representation Theory and Algebraic Geometry: Old and recent work with Maurice (1997) (0)
- Algebras, quivers and representations : the Abel Symposium 2011 (2013) (0)
- Representation Theory of Artin Algebras: The Auslander–Reiten-quiver (1995) (0)
- eb 2 00 4 TILTING THEORY AND CLUSTER COMBINATORICS (0)
- From m-clusters to m-noncrossing partitions via exceptional sequences (2011) (0)
- Representation Theory of Artin Algebras: Open problems (1995) (0)
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