Generic representations for symmetric spaces
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DOI: 10.1016/j.aim.2019.03.016
Abstract: For a connected quasi-split reductive algebraic group $G$ over a field $k$, which is either a finite field or a non-archimedean local field, $\theta$ an involutive automorphism of $G$ over $k$, let $K =G^\theta$. Let… read more here.
Keywords: representations symmetric; field; theta; generic representations ... See more keywords
Irreducible restrictions of representations of symmetric and alternating groups in small characteristics
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DOI: 10.1016/j.aim.2020.107184
Abstract: Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such classification is known… read more here.
Keywords: representations symmetric; restrictions representations; alternating groups; small characteristics ... See more keywords