V. Kac

Algebra and Number Theory · 2000–2016

A researcher in the Science corpus: 15 papers; trusts 7 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 14 citations into it; #248 of 2,864 by trust here, #158 by citations
• Geometry and Topology — 13 citations into it; #830 of 7,422 by trust here, #653 by citations
• Mathematical Physics — 10 citations into it; #3,937 of 8,562 by trust here, #3,482 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #1,338 of 10,127 by trust here, #2,158 by citations

Whom V. Kac trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. P. Fiebig
2. M. Wakimoto
3. E. Frenkel
4. Shi-Shyr Roan
5. T. Arakawa
6. A. Premet

Who trusts V. Kac overall

1. A. Sole
2. A. Premet
3. Vera Serganova
4. T. Arakawa
5. Pavel S. Kolesnikov
6. Jonathan Brundan
7. D. Gaiotto
8. Hüseyin Budak
9. I. Losev
10. Dietrich Burde

Papers from V. Kac's perspective

Ordered by how strongly the researchers V. Kac trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Combinatorics of Category O over symmetrizable Kac-Moody Algebras
2. Quantization of Slodowy slices
3. Shifted Yangians and finite W-algebras
4. Special transverse slices and their enveloping algebras
5. Finite vs affine W-algebras
6. Quantum Reduction for Affine Superalgebras
7. Basic Hypergeometric Series
8. Representation theory of W-algebras
9. The Structure of n-Lie Algebras
10. Hyperbolic localization of intersection cohomology

Their papers

• Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results (2016) — 62 citations
• Poisson vertex algebras in the theory of Hamiltonian equations (2009) — 150 citations
• Classification of Simple Linearly Compact n-Lie Superalgebras (2009) — 66 citations
• Classification of linearly compact simple Jordan and generalized Poisson superalgebras (2006) — 89 citations
• Finite vs affine W-algebras (2005) — 266 citations
• Twisted Modules over Lattice Vertex Algebras (2004) — 80 citations
• Quantum reduction and representation theory of superconformal algebras (2003) — 260 citations
• Quantum Reduction for Affine Superalgebras (2003) — 300 citations
• On integral representations of $q$-gamma and $q$-beta functions (2003) — 210 citations
• On the classification of subalgebras of CendN and gcN (2003) — 59 citations
• Field Algebras (2002) — 168 citations
• q-Gamma and q-Beta Functions (2002) — 83 citations
• Symmetric Quantum Calculus (2002) — 166 citations
• Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function (2000) — 197 citations
• Theory of Finite Pseudoalgebras (2000) — 190 citations