Displaying similar documents to “Discrete minimal surface algebras.”

Semilinear relations and *-representations of deformations of so(3)

Yuriĭ Samoĭlenko, Lyudmila Turowska (1997)

Banach Center Publications

Similarity:

We study a family of commuting selfadjoint operators = ( A k ) k = 1 n , which satisfy, together with the operators of the family = ( B j ) j = 1 n , semilinear relations i f i j ( ) B j g i j ( ) = h ( ) , ( f i j , g i j , h j : n are fixed Borel functions). The developed technique is used to investigate representations of deformations of the universal enveloping algebra U(so(3)), in particular, of some real forms of the Fairlie algebra U q ' ( s o ( 3 ) ) .

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...

Rankin–Cohen brackets and representations of conformal Lie groups

Michael Pevzner (2012)

Annales mathématiques Blaise Pascal

Similarity:

This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010. The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a...

Real representations of quivers

Lidia Hügeli, Sverre Smalø (1999)

Colloquium Mathematicae

Similarity:

The Dynkin and the extended Dynkin graphs are characterized by representations over the real numbers.