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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

2 votes

Explicit deformations of pseudo representations

In the case of $2$-dimensional pseudo-characters of the absolute Galois group of $\mathbb Q_p$, when $p\ge 5$ have been worked out in this paper: http://arxiv.org/abs/1005.2008. See the appendix, a …
peliukas's user avatar
  • 241
1 vote
Accepted

Compact induction as a tensor product

No. Take $H$ the trivial subgroup, $W$ the trivial rep. The left hand side is all smooth functions on $G$ with compact support. The right hand side is zero. The reason for this is that elements of $\ …
peliukas's user avatar
  • 241
2 votes
Accepted

Projection formula for smooth representations of locally profinite groups

The map is not surjective in general. The basic idea is the induction is something like a product and tensor products and products don't commute. Example. $H$ and $\sigma$ trivial, $R$ a field and $ …
peliukas's user avatar
  • 241