Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Song, Linliang"'
Autor:
Song, Linliang, Wang, Weiqiang
Using the affine web category introduced in a prequel as a building block, we formulate a diagrammatic $\Bbbk$-linear monoidal category, the affine Schur category, for any commutative ring $\Bbbk$. We then formulate diagrammatic categories, the cyclo
Externí odkaz:
http://arxiv.org/abs/2407.10119
Autor:
Song, Linliang, Wang, Weiqiang
Generalizing the polynomial web category, we introduce a diagrammatic $\Bbbk$-linear monoidal category, the affine web category, for any commutative ring $\Bbbk$. Integral bases consisting of elementary diagrams are obtained for the affine web catego
Externí odkaz:
http://arxiv.org/abs/2406.13172
We determine representation type of cyclotomic quiver Hecke algebras whose Lie type are affine type C. When they are tame, we give their basic algebras in explicit form under the assumption $\text{ch}\ \mathbb{k}\ne2$, which we require cellularity to
Externí odkaz:
http://arxiv.org/abs/2402.09940
Autor:
Rui, Hebing, Song, Linliang
Publikováno v:
Journal of Algebra 483 (2017), 329-361
We give explicit isomorphisms between simple modules of degenerate cyclotomic Hecke algebras defined via various cellular bases. A special case gives a generalized Mullineux involution in the degenerate case.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2307.09285
Autor:
Si, Mei, Song, Linliang
Publikováno v:
Journal of Pure and Applied Algebra 227(7)(2023) 107333
In this paper, we compute Gram determinants associated to all cell modules of quantized walled Brauer algebras $\mathscr B_{r, t}(\rho, q)$ over an arbitrary field $\kappa$. Suppose $e$ is the quantum characteristic of $q^2$. We classify the blocks o
Externí odkaz:
http://arxiv.org/abs/2307.08066
Autor:
Rui, Hebing, Song, Linliang
Publikováno v:
Mathematische Zeitschrift (2019) 293,503-550
A strict monoidal category referred to as affine Brauer category $\mathcal{AB}$ is introduced over a commutative ring $\kappa$ containing multiplicative identity $1$ and invertible element $2$. We prove that morphism spaces in $\mathcal{AB}$ are free
Externí odkaz:
http://arxiv.org/abs/2307.08061
Let $\mathcal B(\delta)$ be the Brauer category over the complex field $\mathbb C$ with the parameter $\delta$. In non-semisimple case, $\delta$ is an integer, and each weight space of $(\frac{\delta}2-1)$th semi-infinite wedge space corresponds to e
Externí odkaz:
http://arxiv.org/abs/2307.08054
Autor:
Rui, Hebing, Song, Linliang
Publikováno v:
Journal of Algebra 557 (2020) 1-36
We study representations of the locally unital and locally finite dimensional algebra $B$ associated to the Brauer category $\mathcal B(\delta_0)$ with defining parameter $\delta_0$ over an algebraically closed field $K$ with characteristic $p\neq 2$
Externí odkaz:
http://arxiv.org/abs/2307.10238
We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type A. This quiver provides an efficient method to obtain all dominant maximal weights. Then, we completely determin
Externí odkaz:
http://arxiv.org/abs/2302.14477
We construct the Jucys-Murphy elements and the Jucys-Murphy basis for the $q$-Brauer algebra in the sense of Mathas[11]. We also give a necessary and sufficient condition for the $q$-Brauer algebra being (split) semisimple over an arbitrary field.
Externí odkaz:
http://arxiv.org/abs/2211.14756