Mikael Cavallin

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math.RT2017

A new family of irreducible subgroups of the orthogonal algebraic groups

Mikaël Cavallin, Donna M. Testerman

Let $n \geq 3,$ and let $Y$ be a simply connected, simple algebraic group of type $D_{n + 1}$ over an algebraically closed field $K .$ Also let $X$ be the subgroup of type $B_{n}$ of $Y,…

math.RT2017

Structure of certain Weyl modules for the Spin groups

Mikaël Cavallin

Let $K$ be an algebraically closed field of characteristic $p ⩾ 0$ and let $W$ be a finite-dimensional $K$ -space of dimension greater than or equal to $5.$ In this paper, we…

math.RT2016

Restriction of irreducible modules for $\mbox{Spin}_{2n+1}(K)$ to $\mbox{Spin}_{2n}(K)$

Mikaël Cavallin

Let $K$ be an algebraically closed field of characteristic $p ⩾ 0$ and let $Y=\mbox{Spin}_{2n+1}(K)$ $(n ⩾ 3)$ be a simply connected simple algebraic group of type $B…

math.RT2016

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Mikaël Cavallin

Let $g$ be a semisimple Lie algebra over $C$ having rank $l$ and let $V = L (λ)$ be an irreducible finite-dimensional $g$ -module having highest weight $…