181 citations · 551 across the 67 of their papers we have counts for
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SO(2n,C)-character varieties are not varieties of characters
Adam S. Sikora
We prove that the coordinate rings of SO(2n,C)-character varieties are not generated by trace functions nor generalized trace functions for and all groups Gamma of corank…
G-Character varieties for G=SO(n,C) and other not simply connected groups
Adam S. Sikora
We describe the relation between G-character varieties, , and -character varieties, where is a finite, central subgroup of In particular, we find finite gener…
Character Varieties of Abelian Groups
Adam S. Sikora
We prove that for every reductive group G with a maximal torus T and the Weyl group W there is a natural normalization map chi from T^N/W to an irreducible component of the G-chara…
Character Varieties
Adam S. Sikora
We study properties of irreducible and completely reducible representations of finitely generated groups Gamma into reductive algebraic groups G in in the context of the geometric…
Sl_n-character varieties as spaces of graphs
Adam S. Sikora
An SL_n-character of a group G is the trace of an SL_n-representation of G. We show that all algebraic relations between SL_n-characters of G can be visualized as relations between…