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Homological Realization of Restricted Kostka Polynomials
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feigin, Boris Feigin, Evgeny |
| Copyright Year | 2006 |
| Abstract | In this paper we give two realizations of restricted Kostka poly-nomials for sl 2. Firstly we identify restricted Kostka polynomials with characters of the zero homology of the current algebra with coefficients in the certain modules. As a corollary we reobtain the alternating sum formula. Secondly we show that restricted Kostka polynomials are q-multiplicities of the decomposition of the certain integrable sl 2-modules to the irreducible components. This allows to write a kind of fermionic formula for the Virasoro unitary characters. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0503058v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Alternating Turing machine Arabic numeral 0 Coefficient Homologous Gene Homology (biology) Irreducibility Personality Character Poly A Polynomial ring poly ICLC |
| Content Type | Text |
| Resource Type | Article |
