Keyword

highest weight modules

Description: Highest weight modules are representations of Lie algebras or related algebraic structures generated by vectors annihilated by raising operators.

Primary topic: Algebraic structures and combinatorial models (65%)

OpenAlex ID: keywords/highest-weight-modules

Quantum deformations of certain simple modules over enveloping algebras

1988 · G Lusztig · Advances in Mathematics · 468

Fock representations of the affine Lie algebraA 1 (1)

1986 · Minoru Wakimoto · Communications in Mathematical Physics · 467

Representations of Semisimple Lie Algebras in the BGG Category O

2008 · James E. Humphreys · 386

A proof of Jantzen conjectures

1993 · A. Beilinson, J. Bernstein · Advances in Soviet mathematics · 302

The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities

1984 · James Lepowsky, Robert Lee Wilson · Inventiones mathematicae · 259

Classification of Harish-Chandra modules over the Virasoro Lie algebra

1992 · Olivier Mathieu · Inventiones mathematicae · 236

Fock representations and BRST cohomology inSL(2) current algebra

1990 · D. Bernard, G. Felder · Communications in Mathematical Physics · 236

Infinite flag varieties and conjugacy theorems

1983 · Dale H. Peterson, Victor G. Kac · Proceedings of the National Academy of Sciences · 228

Representations of Semisimple Lie Algebras in the BGG Category 𝒪

2008 · James Humphreys · Graduate studies in mathematics · 209

Weyl modules for classical and quantum affine algebras

2001 · Vyjayanthi Chari, Andrew Pressley · Representation Theory of the American Mathematical Society · 208

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Integrable Highest Weight Modules over Affine Superalgebras and Number Theory

1994 · Victor G. Kac, Minoru Wakimoto · Birkhäuser Boston eBooks · 200

Moduln mit einem höchsten Gewicht

1983 · Jens C. Jantzen · Springer eBooks · 177

Discrete decomposability of the restriction ofA q(?) with respect to reductive subgroups and its applications

1994 · Toshiyuki Kobayashi · Inventiones mathematicae · 164

Representations of Hecke Algebras at Roots of Unity

2011 · Meinolf Geck, Nicolas Jacon · Springer eBooks · 161

Integrable structure of Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory

2002 · Vladimir V. Bazhanov, Anthony N. Hibberd, et al. · Nuclear Physics B · 159

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Quasi-Hopf twistors for elliptic quantum groups

1999 · M. Jimbo, H. Konno, et al. · Transformation Groups · 159

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Differential operators on homogeneous spaces. III

1985 · W. Borho, J. -L. Brylinski · Inventiones mathematicae · 151

Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function

2001 · Victor G. Kac, Minoru Wakimoto · Communications in Mathematical Physics · 145

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A new family of algebras underlying the Rogers-Ramanujan identities and generalizations

1981 · James Lepowsky, Robert Lee Wilson · Proceedings of the National Academy of Sciences · 141

The structure of standard modules

1985 · James Lepowsky, Robert Lee Wilson · Inventiones mathematicae · 137

Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

1985 · James Lepowsky, Mirko Primc · Contemporary mathematics - American Mathematical Society · 136

On the variety of a highest weight module

1984 · Anthony Joseph · Journal of Algebra · 135

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From Dynkin diagram symmetries to fixed point structures

1996 · Fuchs, Jürgen, Schellekens, Bert, et al. · UvA-DARE (University of Amsterdam) · 130

Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras

1987 · V.K. Dobrev · Physics Letters B · 126

Moduln mit einem höchsten Gewicht

1979 · Jens Carsten Jantzen · Lecture notes in mathematics · 125

Works count: 1,393

Citation count: 16,910