Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Dipper, Richard"'
Autor:
Thangavelu, Geetha, Dipper, Richard
Let $R$ be a commutative ring with identity and let $V$ be a free $R$-module of rank $n$ for some $n\in\mathbb{N}$. Fixing an $R$-basis $\mathcal{E}$ of $V$, the symmetric group $\mathfrak{S}_n$ acts on $V$ by permuting $\mathcal{E}$ and hence on ten
Externí odkaz:
http://arxiv.org/abs/2311.03156
Autor:
Thangavelu, Geetha, Dipper, Richard
Publikováno v:
In Journal of Algebra 15 November 2024 658:294-318
Kirillov's orbit theory provides a powerful tool for the investigation of irreducible unitary representations of many classes of Lie groups. In a previous paper we used a modification hereof, called monomial linearisation, to construct a monomial bas
Externí odkaz:
http://arxiv.org/abs/1802.08344
For the $p$-Sylow subgroups $U$ of the finite classical groups of untwisted Lie type, $p$ an odd prime, we construct a monomial $\mathbb C U$-module $M$ which is isomorphic to the regular representation of $\mathbb C G$ by a modification of Kirillov'
Externí odkaz:
http://arxiv.org/abs/1709.03238
Autor:
Guo, Qiong, Dipper, Richard
Column closed pattern subgroups $U$ of the finite upper unitriangular groups $U_n(q)$ are defined as sets of matrices in $U_n(q)$ having zeros in a prescribed set of columns besides the diagonal ones. We explain Jedlitschky's construction of monomial
Externí odkaz:
http://arxiv.org/abs/1701.00605
Autor:
Dipper, Richard, Guo, Qiong
Let $U=U_n(q)$ be the group of lower unitriangular $n \times n$-matrices with entries in the field $\mathbb F_q$ with $q$ elements for some prime power $q$ and $n \in \mathbb N$. We investigate the restriction to $U$ of the permutation action of $GL_
Externí odkaz:
http://arxiv.org/abs/1412.3376
Autor:
Dipper, Richard, Guo, Qiong
Let $q$ be a prime power and $U$ the group of lower unitriangular matrices of order $n$ for some natural number $n$. We give a lower bound for the degrees of irreducible constituents of Andr\'{e}-Yan supercharacters and classify the supercharacters h
Externí odkaz:
http://arxiv.org/abs/1311.7294
Publikováno v:
In Journal of Pure and Applied Algebra November 2019 223(11):4801-4826
Let $n\in\mathds{N}$ and $B_n(r,q)$ be the generic Birman-Murakami-Wenzl algebra with respect to indeterminants $r$ and $q$. It is known that $B_n(r,q)$ has two distinct linear representations generated by two central elements of $B_n(r,q)$ called th
Externí odkaz:
http://arxiv.org/abs/1109.0342
Autor:
Dipper, Richard, Doty, Stephen
We extend the family of classical Schur algebras in type A, which determine the polynomial representation theory of general linear groups over an infinite field, to a larger family, the rational Schur algebras, which determine the rational representa
Externí odkaz:
http://arxiv.org/abs/math/0511663