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Algebras -- Associative

Representation Theory

16Gxx

[1] Alexander Chistov, Gábor Ivanyos, and Marek Karpinski. Polynomial time algorithms for modules over finite dimensional algebras. In Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI), pages 68–74 (electronic), New York, 1997. ACM.
[2] Galyna Dobrovolska and Pavel Etingof. An upper bound for the lower central series quotients of a free associative algebra. Int. Math. Res. Not. IMRN, (12):Art. ID rnn039, 10, 2008.
[3] Pavel Etingof and Victor Ginzburg. Noncommutative complete intersections and matrix integrals. Pure Appl. Math. Q., 3(1, part 3):107–151, 2007.
[4] Pavel Etingof, Alexei Oblomkov, and Eric Rains. Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Adv. Math., 212(2):749–796, 2007.
[5] Edward L. Green, Lenwood S. Heath, and Craig A. Struble. Constructing homomorphism spaces and endomorphism rings. J. Symbolic Comput., 32(1-2):101–117, 2001.
[6] Sefi Ladkani. Insights on periodicity and nonnegativity from finite dimensional algebras. arXiv:math.RT/0611201, 13 pages, 2006.
[7] Sefi Ladkani. On the periodicity of Coxeter transformations and the non-negativity of their Euler forms. Linear Algebra Appl., 428(4):742–753, 2008.
[8] Klaus M. Lux and Magdolna Szőke. Computing homomorphism spaces between modules over finite dimensional algebras. Experiment. Math., 12(1):91–98, 2003.
[9] Klaus M. Lux and Magdolna Szőke. Computing decompositions of modules over finite-dimensional algebras. Experiment. Math., 16(1):1–6, 2007.
[10] Craig A. Struble. Analysis and Implementation of Algorithms for Noncommutative Algebra. PhD thesis, Virginia Polytechnic Institute and State University, 2000.

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