Displaying similar documents to “Projective representations of generalized symmetric groups.”

Some Examples of Rigid Representations

Kostov, Vladimir (2000)

Serdica Mathematical Journal

Similarity:

*Research partially supported by INTAS grant 97-1644. Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1 . . .Mp+1 = I (resp. A1+. . .+Ap+1 = 0). The matrices Mj and Aj are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann’s sphere. We...

On representation theory of quantum S L q ( 2 ) groups at roots of unity

Piotr Kondratowicz, Piotr Podleś (1997)

Banach Center Publications

Similarity:

Irreducible representations of quantum groups S L q ( 2 ) (in Woronowicz’ approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the case of q being an odd root of unity. Here we find the irreducible representations for all roots of unity (also of an even degree), as well as describe “the diagonal part” of the tensor product of any two irreducible representations. An example of a not completely reducible representation is given. Non-existence of Haar functional is proved. The corresponding...