On the \(q\)-exponential of matrix \(q\)-Lie algebras

DOI10.1515/spma-2017-0003zbMath1418.17066OpenAlexW2581475328WikidataQ115514272 ScholiaQ115514272MaRDI QIDQ516664

Thomas Ernst

Publication date: 15 March 2017

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

Full work available at URL: https://doi.org/10.1515/spma-2017-0003

zbMATH Keywords

\(q\)-exponential function\(q\)-determinant\(q\)-Lie algebra\(q\)-tracebiringnova \(q\)-additionring morphism

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Lie algebras and Lie superalgebras (17B99)

Related Items (8)

Further results on \(q\)-Lie groups, \(q\)-Lie algebras and \(q\)-homogeneous spaces ⋮ On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations ⋮ Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions ⋮ On generalized \(q\)-hyperbolic functions in the spirit of Kapteyn, with corresponding \(q\)-Lie group ⋮ Unnamed Item ⋮ On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices ⋮ q-difference equations for the composite 2D q-Appell polynomials and their applications ⋮ A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums

Cites Work

• An umbral approach to find \(q\)-analogues of matrix formulas
• A Comprehensive Treatment of q-Calculus
• Multiplication formulas for q-Appell polynomials and the multiple q-power sums
• Contractions of the Low-Dimensional Real Lie Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the \(q\)-exponential of matrix \(q\)-Lie algebras