Centers of degenerate cyclotomic Hecke algebras and parabolic category
By Jonathan Brundan. 2006
92 citations recorded by the source corpus.
We prove that the center of each degenerate cyclotomic Hecke algebra associated to the complex reflection group of type B_d(l) consists of symmetric polynomials in its commuting generators. The classification of the blocks of the degenerate cyclotomic Hecke algebras is an easy consequence. We then deduce that the center of an integral block of parabolic category O for the Lie algebra gl_n(C) is generated by the center of its universal enveloping algebra.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/93d2a37ed4c15100c2b94aae7693198fd86a2de8
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In Algebra and Number Theory
- Alexander S. Kleshchev
- Jonathan Brundan
- Raphaël Rouquier
- Ben Webster
- E. Vasserot
- M. Varagnolo
- P. Shan
- Aaron D. Lauda
In Geometry and Topology
- Alexander S. Kleshchev
- Jonathan Brundan
- Ben Webster
- E. Vasserot
- Raphaël Rouquier
- Aaron D. Lauda
- M. Varagnolo
- P. Shan
In Mathematical Physics
- Alexander S. Kleshchev
- Jonathan Brundan
- Raphaël Rouquier
- E. Vasserot
- Ben Webster
- P. Shan
- M. Varagnolo
- Aaron D. Lauda
Citations in the corpus
- Categorifications and cyclotomic rational double affine Hecke algebras (2013, background): “, the algebraH s K ,α = 1αHK ,d is either zero or a single block of HK ,d [4,30].”
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras (2008, background): “. Substituting this into B , we get that B = (1 p1(iji) 2) (q1(iji) 1q2(iji) 1 (q1(iji)s1q1(jii)) 1”
- Schur–Weyl duality for higher levels (2006, methodology): “flag in which the Specht module S(B) appears with multiplicity KB,A for each B2 Coldc( ), arranged in any order refining the Bruhat ordering on Col d c( ) (most”