Computing homomorphism spaces between modules over finite dimensional algebras.

Lux, Klaus M.; Szőke, Magdolna

Displaying similar documents to “Computing homomorphism spaces between modules over finite dimensional algebras.”

Modular representations of Loewy length two.

Charkani, M.E., Bouhamidi, S. (2003)

International Journal of Mathematics and Mathematical Sciences

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Composition-diamond lemma for modules

Yuqun Chen, Yongshan Chen, Chanyan Zhong (2010)

Czechoslovak Mathematical Journal

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We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra $s l_{2}$ , the Verma module over a Kac-Moody algebra, the...