Results 11 to 19 of about 19 (19)

An update on Haiman’s conjectures

Forum of Mathematics, Sigma
We revisit Haiman’s conjecture on the relations between characters of Kazdhan–Lusztig basis elements of the Hecke algebra over $S_n$ . The conjecture asserts that, for purposes of character evaluation, any Kazhdan–Lusztig basis element is reducible
Alex Corrêa Abreu, Antonio Nigro
doaj   +1 more source

Geometrization of the Satake transform for mod p Hecke algebras

Forum of Mathematics, Sigma
We geometrize the mod p Satake isomorphism of Herzig and Henniart–Vignéras using Witt vector affine flag varieties for reductive groups in mixed characteristic. We deduce this as a special case of a formula, stated in terms of the geometry of generalized
Robert Cass, Yujie Xu
doaj   +1 more source

A categorical action of the shifted $0$ -affine algebra

Forum of Mathematics, Sigma
We introduce a new algebra $\mathcal {U}=\dot {\mathrm {\mathbf{U}}}_{0,N}(L\mathfrak {sl}_n)$ called the shifted $0$ -affine algebra, which emerges naturally from studying coherent sheaves on n-step partial flag varieties through natural ...
You-Hung Hsu
doaj   +1 more source

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Affine Bruhat order and Demazure products

Forum of Mathematics, Sigma
We give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph.
Felix Schremmer
doaj   +1 more source

Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C

Forum of Mathematics, Sigma
We give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
doaj   +1 more source

Quasi-polynomial representations of double affine Hecke algebras

Forum of Mathematics, Sigma
We introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran   +2 more
doaj   +1 more source

Encoding and control of orientation to airflow by a set of Drosophila fan-shaped body neurons. [PDF]

Elife, 2020
Currier TA, Matheson AM, Nagel KI.
europepmc   +1 more source

Relative assembly maps and the K-theory of Hecke algebras in prime characteristic. [PDF]

Math Ann
Lück W.
europepmc   +1 more source