Poincare series of character varieties for nilpotent groups

Autor:	Stafa, Mentor
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Topology Mathematics - Geometric Topology Mathematics - Representation Theory
Zdroj:	J. Group Theory 2019, v. 22 (3), pp. 419-440
Druh dokumentu:	Working Paper
DOI:	10.1515/jgth-2018-0120
Popis:	For any compact and connected Lie group $G$ and any free abelian or free nilpotent group $\Gamma$ , we determine the cohomology of the path component of the trivial representation of the representation space (character variety) $Rep(\Gamma,G)_1$, with coefficients in a field $F$ with ${char} (F)$ either 0 or relatively prime to the order of the Weyl group $W$. We give explicit formulas for the Poincar\'e series. In addition we study $G$-equivariant stable decompositions of subspaces $X(q,G)$ of the free monoid $J(G)$ generated by the Lie group $G$, obtained from finitely generated free nilpotent group representations. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.01443 Zobrazit plný text záznamu View this record from Arxiv