Plural, a Non–commutative Extension of Singular: Past, Present and Future

DOI10.1007/11832225_13zbMath1229.16001OpenAlexW2115595069MaRDI QIDQ5747806

Viktor Levandovskyy

Publication date: 14 September 2010

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/11832225_13

zbMATH Keywords

algorithmssymbolic computationquantum algebrasnon-commutative algebrasrepresentations of Lie algebrascomputer algebra system for polynomial computations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Computational aspects of associative rings (general theory) (16Z05) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (7)

An algebra behind the Clebsch-Gordan coefficients of \(U_q(\mathfrak{sl}_2)\) ⋮ Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Gröbner systems of PBW algebra ⋮ Exact linear modeling with polynomial coefficients ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Common Divisors of Solvable Polynomials in JAS ⋮ Plural

Uses Software

• Macaulay2
• SINGULAR
• slimgb
• Felix
• BERGMAN
• Kan
• Mgfun
• GBNP
• NCAlgebra
• MAS

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