The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Degenerate principal series representations of S p ( 2 n , 𝐑 )

On the power-series expansion of a rational function

D. V. Lee (1992)

Acta Arithmetica

Similarity:

Introduction. The problem of determining the formula for P S ( n ) , the number of partitions of an integer into elements of a finite set S, that is, the number of solutions in non-negative integers, h s , . . . , h s k , of the equation hs₁ s₁ + ... + hsk sk = n, was solved in the nineteenth century (see Sylvester [4] and Glaisher [3] for detailed accounts). The solution is the coefficient of x i n [(1-xs₁)... (1-xsk)]-1, expressions for which they derived. Wright [5] indicated a simpler method by which to find part...

Representations of s l q 3 at the roots of unity

Nicoletta Cantarini (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

In this paper we study the irreducible finite dimensional representations of the quantized enveloping algebra U q g associated to g = s l 3 , at the roots of unity. It is known that these representations are parametrized, up to isomorphisms, by the conjugacy classes of the group G = S L 3 . We get a complete classification of the representations corresponding to the submaximal unipotent conjugacy class and therefore a proof of the De Concini-Kac conjecture about the dimension of the U q g -modules at the roots...