P. P. Kulish, “Representations of $Q$-Minkowski space algebra”, Algebra i Analiz, 6:2 (1994), 195–205; St. Petersburg Math. J., 6:2 (1995), 365

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Algebra i Analiz, 1994, Volume 6, Issue 2, Pages 195–205 (Mi aa441)

This article is cited in 14 scientific papers (total in 15 papers)

Research Papers

Representations of

$Q$ -Minkowski space algebra

P. P. Kulish

Departament de Física Teòrica, Facultad de Física, Universitat de València

Full-text PDF (992 kB) Citations (15)

Abstract: The properties of the quantum Minkowski space algebra are discussed. Its irreducible representations with highest weight vectors are constructed and relations to other quantum algebras:

$su_q(2)$ ,

$g$ -oscillator,

$q$ -sphere are pointed out.

Received: 20.11.1993

Bibliographic databases:

Document Type: Article

Language: English

Citation: P. P. Kulish, “Representations of

$Q$ -Minkowski space algebra”, Algebra i Analiz, 6:2 (1994), 195–205; St. Petersburg Math. J., 6:2 (1995), 365–374

Citation in format AMSBIB

\Bibitem{Kul94}

\by P.~P.~Kulish

\paper Representations of $Q$-Minkowski space algebra

\jour Algebra i Analiz

\yr 1994

\vol 6

\issue 2

\pages 195--205

\mathnet{http://mi.mathnet.ru/aa441}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1290824}

\zmath{https://zbmath.org/?q=an:0832.17016}

\transl

\jour St. Petersburg Math. J.

\yr 1995

\vol 6

\issue 2

\pages 365--374

Linking options:

https://www.mathnet.ru/eng/aa441

https://www.mathnet.ru/eng/aa/v6/i2/p195

This publication is cited in the following 15 articles:

Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201
“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19
Gurevich D. Pyatov P. Saponov P., “Braided Weyl Algebras and Differential Calculus on U(U(2))”, J. Geom. Phys., 62:5 (2012), 1175–1188
Gurevich D., Saponov P., “Wave Operators on Quantum Algebras via Noncanonical Quantization”, Acta Applicandae Mathematicae, 109:1 (2010), 19–38
Gurevich, D, “Braided affine geometry and q-analogs of wave operators”, Journal of Physics A-Mathematical and Theoretical, 42:31 (2009), 313001
Dutriaux, A, “Braided vector fields on a quantum hyperboloid via the quantum group U-q(sl(2))”, Journal of Physics A-Mathematical and Theoretical, 42:44 (2009), 445203
D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Representation theory of (modified) Reflection Equation Algebra of $GL(m|n)$ type”, St. Petersburg Math. J., 20:2 (2009), 213–253
Dutriaux, A, “The Maxwell operator on q-Minkowski space and q-hyperboloid algebras”, Journal of Physics A-Mathematical and Theoretical, 41:31 (2008), 315203
Dutriaux, A, “Noncommutative dynamical models with quantum symmetries”, Acta Applicandae Mathematicae, 101:1–3 (2008), 85
Bachmaier, F, “Separation of noncommutative differential calculus on quantum Minkowski space”, Journal of Mathematical Physics, 47:2 (2006), 023501
M. A. Olshanetsky, V.-B. K. Rogov, “dS–AdS Structures in Noncommutative Minkowski Spaces”, Theoret. and Math. Phys., 144:3 (2005), 1315–1343
N. M. Bogolyubov, E. V. Damaskinskii, “Kulish Petr Petrovich”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 18, Zap. nauchn. sem. POMI, 317, POMI, SPb., 2004, 7–10
D. I. Gurevich, P. A. Saponov, “Higher-Dimensional Representations of the Reflection Equation Algebra”, Theoret. and Math. Phys., 139:1 (2004), 486–499
Saponov, PA, “The Weyl approach to the representation theory of reflection equation algebra”, Journal of Physics A-Mathematical and General, 37:18 (2004), 5021
P. P. Kulish, A. I. Mudrov, “Twist-Related Geometries on q-Minkowski Space”, Proc. Steklov Inst. Math., 226 (1999), 86–99

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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