arXiv subjects

Anastasia Trofimova

Publications and source records attributed to Anastasia Trofimova.

2 recordsLinked to original sources

arXiv2019

Representations of finite-dimensional quotient algebras of the 3-string braid group

We consider quotients of the group algebra of the $3$-string braid group $B_3$ by $p$-th order generic polynomial relations on the elementary braids. In cases $p=2,3,4,5$ these quotient algebras are finite dimensional. We give semisimplicity criteria for these algebras and present explicit formulas for all their irreducible representations.

math.RT↗

arXiv2011

Higher matrix-tree theorems

We calculate determinants of weighted sums of reflections and of (nested) commutators of reflections. The results obtained generalize the Kirchhoff's matrix-tree theorem and the matrix-3-hypertree theorem by G.\,Massbaum and A.\,Vaintrob.

math.CO↗