Peter Littelmann

Q: What Schools Are Affiliated With Peter Littelmann

Peter Littelmann is affiliated with the following schools: University of Cologne, University of Basel

Peter Littelmann's AcademicInfluence.com Rankings

Peter Littelmann

Mathematics

#6231

World Rank

#8669

Historical Rank

Measure Theory

#3856

World Rank

#4544

Historical Rank

mathematics Degrees

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Mathematics

Why Is Peter Littelmann Influential?

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According to Wikipedia, Peter Littelmann is a German mathematician at the University of Cologne working on algebraic groups and representation theory, who introduced the Littelmann path model and used it to solve several conjectures in standard monomial theory and other areas.

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Peter Littelmann's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Paths and root operators in representation theory (1995) (421)
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras (1994) (353)
Cones, crystals, and patterns (1998) (237)
Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions (2005) (189)
PBW filtration and bases for irreducible modules in type An (2010) (133)
LS galleries, the path model, and MV cycles (2003) (117)
Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras (1998) (111)
A Generalization of the Littlewood-Richardson Rule (1990) (107)
On Spherical Double Cones (1994) (103)
A Plactic Algebra for Semisimple Lie Algebras (1996) (96)
Tensor Product Structure of Affine Demazure Modules and Limit Constructions (2004) (92)
Crystal Graphs and Young Tableaux (1995) (90)
PBW filtration and bases for symplectic Lie algebras (2010) (81)
Superbosonization of Invariant Random Matrix Ensembles (2007) (69)
FAVOURABLE MODULES: FILTRATIONS, POLYTOPES, NEWTON–OKOUNKOV BODIES AND FLAT DEGENERATIONS (2013) (63)
Standard Monomial Theory for Bott–Samelson Varieties (1997) (59)
Essential bases and toric degenerations arising from birational sequences (2015) (49)
Standard Monomial Theory and applications (1998) (48)
Symplectic Degenerate Flag Varieties (2011) (41)
On toric degenerations of flag varieties (2016) (41)
The Path Model, the Quantum Frobenius Map and Standard Monomial Theory (1998) (39)
The Path Model for Representations of Symmetrizable Kac-Moody Algebras (1995) (39)
Richardson varieties and equivariant K-theory (2002) (30)
An algorithm to compute bases and representation matrices for SLn + 1-representations (1997) (25)
Degenerate flag varieties and Schubert varieties: a characteristic free approach (2015) (24)
Algebraization of Frobenius splitting via quantum groups (2000) (24)
On the Poincaré series of the invariants of binary forms (1990) (22)
PBW-filtration over ℤ and Compatible Bases for V ℤ ( λ ) in Type A n and C n (2013) (20)
Simplices in Newton–Okounkov bodies and the Gromov width of coadjoint orbits (2016) (19)
One-skeleton galleries, the path model and a generalization of Macdonald's formula for Hall-Littlewood polynomials (2010) (18)
Fusion products and toroidal algebras (2014) (18)
Zhu's algebras, $C_2$-algebras and abelian radicals (2009) (17)
Frobenius splitting in characteristic zero and the quantum Frobenius map (2000) (17)
A Pieri-Chevalley Type Formula for K (G/B) and Standard Monomial Theory (2003) (14)
Equations defining symmetric varieties and affine Grassmannians (2007) (14)
Weyl modules, affine Demazure modules, fusion products and limit constructions (2005) (14)
Zhu's algebra and the C2-algebra in the symplectic and the orthogonal cases (2009) (14)
An effective method to classify nilpotent orbits (1996) (11)
From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies (2017) (10)
Good filtrations and decomposition rules for representations with standard monomial theory. (1992) (9)
Knuth relations, tableaux and MV-cycles (2012) (9)
Bases for representations, LS-paths and Verma flags (2003) (8)
Bases of tensor products and geometric Satake correspondence (2020) (7)
Adapted algebras and standard monomials (2002) (5)
ONE-SKELETON GALLERIES, HALL-LITTLEWOOD POLYNOMIALS AND THE PATH MODEL (2010) (2)
A PIERI–CHEVALLEY FORMULA FOR K(G/B) AND STANDARD MONOMIAL THEORY (2004) (2)
PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type ${\tt A}_n$ and ${\tt C}_n$ (2012) (2)
Seshadri stratifications and standard monomial theory (2021) (1)
Enveloping Algebras and Geometric Representation Theory (2005) (1)
LS Algebras, Valuations and Schubert Varieties (2022) (0)
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory (2022) (0)
SU(N) Clebsch-Gordan coefficients and non-Abelian symmetries (2012) (0)
FAVOURABLE MODULES: FILTRATIONS, POLYTOPES, NEWTON–OKOUNKOV BODIES AND FLAT DEGENERATIONS (2016) (0)
J an 2 00 2 Richardson Varieties and Equivariant K-Theory (2008) (0)
On normal Seshadri stratifications (2022) (0)
Equations Defining Symmetric Varieties and Affine (2007) (0)
Special issue in honour of Ernest Borisovich Vinberg (2007) (0)
Algebraic Groups (2022) (0)
Seshadri stratification for Schubert varieties and standard monomial theory (2022) (0)

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Other Resources About Peter Littelmann

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What Schools Are Affiliated With Peter Littelmann?

Peter Littelmann is affiliated with the following schools:

Peter Littelmann's Academic­Influence.com Rankings