On the standard quantized matrix algebra Mq(n): From a constructive-computational viewpoint

DOI10.1142/s0219498824500920OpenAlexW4317423865MaRDI QIDQ6185906

Rabigul Tuniyaz

Publication date: 30 January 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824500920

zbMATH Keywords

Gröbner-Shirshov basissolvable polynomial algebraquantized matrix algebra

Mathematics Subject Classification ID

Computational aspects of associative rings (general theory) (16Z05) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

• Non-commutative Gröbner bases in algebras of solvable type
• The center of the quantized matrix algebra
• Noncommutative Gröbner bases and filtered-graded transfer.
• A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n−1)
• Cyclic representations of the quantum matrix algebras
• Gröbner–Shirshov Bases
• An elimination lemma for algebras with PBW bases
• Quantized matrix algebras and quantum seeds
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