Results 31 to 39 of about 525 (39)

The hyperbolic formal affine Demazure algebra

open access: yes, 2016
In the present paper we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malag\'on-L\'opez, Savage and Zainoulline in two directions.
Leclerc, Marc-Antoine
core   +1 more source

Quasi-polynomial representations of double affine Hecke algebras

open access: yesForum 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   +2 more
doaj   +1 more source

Alternating quiver Hecke algebras [PDF]

open access: yes, 2015
For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras.
Boys, Clinton
core   +1 more source

Topological steps toward the Homflypt skein module of the lens spaces $L(p,1)$ via braids

open access: yes, 2016
In this paper we work toward the Homflypt skein module of the lens spaces $L(p,1)$, $\mathcal{S}(L(p,1))$, using braids. In particular, we establish the connection between $\mathcal{S}({\rm ST})$, the Homflypt skein module of the solid torus ST, and ...
Diamantis, Ioannis   +2 more
core   +1 more source

An invariant for singular knots

open access: yes, 2009
In this paper we introduce a Jones-type invariant for singular knots, using a Markov trace on the Yokonuma--Hecke algebras ${\rm Y}_{d,n}(u)$ and the theory of singular braids. The Yokonuma--Hecke algebras have a natural topological interpretation in the
Juyumaya, Jesús, Lambropoulou, Sofia
core   +2 more sources

Modular representations of p-adic groups

open access: yes, 2002
I will survey some results in the theory of modular representations of a reductive $p$-adic group, in positive characteristic $\ell \neq p$ and $\ell=p$
Vignéras, Marie-France
core  

A generating function for the trace of the Iwahori-Hecke algebra

open access: yes, 2000
The Iwahori-Hecke algebra has a ``natural'' trace $\tau$. This trace is the evaluation at the identity element in the usual interpretation of the Iwahori-Hecke algebra as a sub-algebra of the convolution algebra of a p-adic semi-simple group. The Iwahori-
Opdam, Eric M.
core   +1 more source

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