Further results on \(q\)-Lie groups, \(q\)-Lie algebras and \(q\)-homogeneous spaces

DOI10.1515/spma-2020-0129OpenAlexW3137890959WikidataQ115235747 ScholiaQ115235747MaRDI QIDQ825562

Thomas Ernst

Publication date: 17 December 2021

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2020-0129

zbMATH Keywords

\(q\)-Lie algebra\(q\)-deformed semidirect product\(q\)-homogeneous space\(q\)-Iwasawa decomposition\(q\)-Lie group\(q\)-root

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Homogeneous spaces (22F30) Analysis on real and complex Lie groups (22E30) Lie algebras of Lie groups (22E60) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• An umbral approach to find \(q\)-analogues of matrix formulas
• On the \(q\)-exponential of matrix \(q\)-Lie algebras
• On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations
• Partial derivative formulas and identities involving 2-variable Simsek polynomials
• Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions
• A Comprehensive Treatment of q-Calculus
• Matrix groups
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