Results 11 to 20 of about 560 (58)

An expansion of the Jones representation of genus 2 and the Torelli group [PDF]

, 2000
We study the algebraic property of the representation of the mapping class group of a closed oriented surface of genus 2 constructed by VFR Jones [Annals of Math. 126 (1987) 335-388].
Birman, Fulton, Humphries, Lazard, Morita, Morita, Yasushi Kasahara   +6 more
core   +2 more sources

Power sums and Homfly skein theory

, 2001
The Murphy operators in the Hecke algebra H_n of type A are explicit commuting elements, whose symmetric functions are central in H_n. In [Skein theory and the Murphy operators, J. Knot Theory Ramif.
Homfly Skein Theory, Hugh R. Morton, Power Sums   +2 more
core   +5 more sources

Cherednik algebra for the normalizer

Comptes rendus. Mathematique, 2022
Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category O for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex reflection group W
Henry Fallet
semanticscholar   +1 more source

Mini-Workshop: Kronecker, Plethysm, and Sylow Branching Coefficients and their Applications to Complexity Theory

Oberwolfach Reports, 2021
The Kronecker, plethysm and Sylow branching coefficients describe the decomposition of representations of symmetric groups obtained by tensor products and induction.
C. Bessenrodt, C. Bowman, E. Giannelli
semanticscholar   +1 more source

ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS [PDF]

Journal of the Institute of Mathematics of Jussieu, 2001
An affine Hecke algebra $\mathcal{H}$ contains a large abelian subalgebra $\mathcal{A}$ spanned by the Bernstein–Zelevinski–Lusztig basis elements $\theta_x$, where $x$ runs over (an extension of) the root lattice. The centre $\mathcal{Z}$ of $\mathcal{H}
E. Opdam
semanticscholar   +1 more source

Erratum to: Hecke algebras, finite general linear groups, and Heisenberg categorification [PDF]

, 2011
We define a category of planar diagrams whose Grothendieck group contains an integral version of the infinite rank Heisenberg algebra, thus yielding a categorification of this algebra.
Anthony M. Licata, Alistair Savage
semanticscholar   +1 more source

Kazhdan–Lusztig Cells and the Murphy Basis [PDF]

, 2005
Let H be the Iwahori–Hecke algebra associated with Sn, the symmetric group on n symbols. This algebra has two important bases: the Kazhdan–Lusztig basis and the Murphy basis.
M. Geck
semanticscholar   +1 more source

Homological representations of the Iwahori-Hecke algebra [PDF]

, 2004
Representations of the Iwahori-Hecke algebra of type An 1 are equivalent to representations of the braid group Bn for which the genera- tors satisfy a certain quadratic relation. We show how to construct such representations from the natural action of Bn
S. Bigelow
semanticscholar   +1 more source

Virtual Algebraic Lie Theory: Tilting Modules and Ringel Duals for Blob Algebras [PDF]

, 2002
In this paper we describe a tensor space representation of the blob algebra over a ring allowing base change to every interesting (that is, non‐semisimple) specialisation.
P. Martin, S. Ryom-Hansen
semanticscholar   +1 more source

Hecke Algebras of Classical Type and Their Representation Type [PDF]

, 2003
The purpose of this article is to determine the representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances ...
S. Ariki
semanticscholar   +1 more source