Braided Symmetric Algebras of Simple $U_q(sl_2)$-Modules and Their Geometry      Braided Symmetric Algebras  Simple $U_q(sl_2)$-Modules  Their Geometry        font style='font-size:12px;'> 2010/12/7

In the present paper we prove decomposition formulae for the braided symmetric powers of simple U q(sl2)-modules, natural quantum analogues of the classical symmetric powers of a module over a complex...

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Rank Bounds for Design Matrices with Applications to Combinatorial Geometry and Locally Correctable Codes      Design Matrices  Applications  Combinatorial Geometry  Locally Correctable Codes        font style='font-size:12px;'> 2010/12/10

A (q, k, t)-design matrix is an m×n matrix whose pattern of zeros/non-zeros satisfies the following design-like condition: each row has at most q non-zeros, each column has at least k non-zeros and ...

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