Naslov
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for $D_4^{;(1)};$

Autori
Baranović, Ivana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, ostalo

Skup
Geometric Representation Theory and Extended Affine Lie Algebras

Mjesto i datum
Ottawa, Kanada, 29.06.2009. - 03.07.2009

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
combinatorial bases; affine Lie algebras

Sažetak
Let $\gtl$ be an affine Lie algebra of type $D_{;4};^{;(1)};$ and $L(\Lambda)$ its standard module with a highest weight vector $v_{;\Lambda};$. For a given $\Z$-gradation $\gtl = \gtl_{;-1}; + \gtl_0 + \gtl_1$, we define Feigin-Stoyanovsky's type subspace as $$W(\Lambda) = U(\gtl_1) \cdot v_{;\Lambda};.$$ Following the idea of G. Georgiev, we reduce the Ponicar\'{;e};-Brikhoff-Witt \\ spanning set of $W(\Lambda)$ to a basis and prove its linear independence by using Dong-Lepowsky intertwining operators.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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