INVARIANT RINGS AND REPRESENTATIONS OF SYMMETRIC GROUPS

Title & Authors
INVARIANT RINGS AND REPRESENTATIONS OF SYMMETRIC GROUPS
Kudo, Shotaro;

Abstract
The center of the Lie group $\small{SU(n)}$ is isomorphic to $\small{\mathbb{Z}_n}$. If $\small{d}$ divides $\small{n}$, the quotient $\small{SU(n)/\mathbb{Z}_d}$ is also a Lie group. Such groups are locally isomorphic, and their Weyl groups $\small{W(SU(n)/\mathbb{Z}_d)}$ are the symmetric group $\small{{\sum}_n}$. However, the integral representations of the Weyl groups are not equivalent. Under the mod $\small{p}$ reductions, we consider the structure of invariant rings $\small{H^*(BT^{n-1};\mathbb{F}_p)^W}$ for \$W
Keywords
invariant theory;unstable algebra;pseudoreflection group;Lie group;p-compact group;classifying space;
Language
English
Cited by
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