Blocks of the Brauer category over the complex field

Abstract

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 either a single block or a union of two different blocks of $\mathcal{B}(\delta )$-lfdmod, the category of the locally finite-dimensional representations of $\mathcal{B}(\delta )$. Furthermore, each block contains an infinite number of irreducible representations of $\mathcal{B}(\delta )$, and all blocks of $\mathcal{B}(\delta )$-lfdmod can be obtained in this way

13 pages, Algebras and Representation Theory, in press

References in corpus (1)

• Graded decomposition numbers for cyclotomic Hecke algebras