Modular representations of exceptional supergroups
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2098-x
Abstract: We classify the simple modules of the exceptional algebraic supergroups over an algebraically closed field of prime characteristic. read more here.
Keywords: exceptional supergroups; representations exceptional; modular representations;
Construction of the irreducible modular representations of a finite group
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.08.015
Abstract: Abstract A complete procedure is described for constructing the irreducible KG-modules and their Brauer characters, where K is a finite field of characteristic p and G is a finite permutation or matrix group. The central… read more here.
Keywords: construction irreducible; modular representations; finite group; representations finite ... See more keywords
Minimal $W$-Superalgebras and the Modular Representations of Basic Lie Superalgebras
Sign Up to like & getrecommendations! Published in 2019 at "Publications of the Research Institute for Mathematical Sciences"
DOI: 10.4171/prims/55-1-5
Abstract: Let $\mathfrak{g}=\mathfrak{g}_{\bar 0}+\mathfrak{g}_{\bar 1}$ be a basic Lie superalgebra over $\mathbb{C}$, and $e$ a minimal nilpotent element in $\mathfrak{g}_{\bar 0}$. Set $W_\chi'$ to be the refined $W$-superalgebra associated with the pair $(\mathfrak{g},e)$, which is called… read more here.
Keywords: lie superalgebras; basic lie; lie; modular representations ... See more keywords