Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. Jacobson generators for (quantum) \(sl(n+1| m)\). Related statistics. (English) Zbl 1092.17008 Nikitin, A.G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 478-485 (2002). Reviewer: A. Sergyeyev (Kyïv) MSC: 17B10 17B37 17B81 81S05 81R50 PDFBibTeX XMLCite \textit{T. D. Palev} et al., in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 478--485 (2002; Zbl 1092.17008)
Palev, T.; Van der Jeugt, J. Fock representations of the Lie superalgebra \(q(n+1)\). (English) Zbl 1022.17006 J. Phys. A, Math. Gen. 33, No. 13, 2527-2544 (2000). MSC: 17B10 81R05 PDFBibTeX XMLCite \textit{T. Palev} and \textit{J. Van der Jeugt}, J. Phys. A, Math. Gen. 33, No. 13, 2527--2544 (2000; Zbl 1022.17006) Full Text: DOI arXiv
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. Fock representations of the superalgebra \(\text{sl}(n+1|m)\), its quantum analogue \(U_q[\text{sl}(n+1|m)]\) and related quantum statistics. (English) Zbl 1028.17006 J. Phys. A, Math. Gen. 33, No. 13, 2545-2553 (2000). MSC: 17B10 81R50 17B37 81R05 PDFBibTeX XMLCite \textit{T. D. Palev} et al., J. Phys. A, Math. Gen. 33, No. 13, 2545--2553 (2000; Zbl 1028.17006) Full Text: DOI arXiv
Palev, T. D.; Stoilova, N. I. Highest weight irreducible representations of the Lie superalgebra \(\text{gl}(1|\infty)\). (English) Zbl 0957.17005 J. Math. Phys. 40, No. 3, 1574-1594 (1999). MSC: 17B10 PDFBibTeX XMLCite \textit{T. D. Palev} and \textit{N. I. Stoilova}, J. Math. Phys. 40, No. 3, 1574--1594 (1999; Zbl 0957.17005) Full Text: DOI arXiv
Palev, Tchavdar D.; Stoilova, Nedjalka I. Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)\(\oplus gl(2)\) basis. II: Nontypical representations. (English) Zbl 0712.17025 J. Math. Phys. 31, No. 4, 953-988 (1990). Reviewer: J.Van der Jeugt MSC: 17B70 17A70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev} and \textit{N. I. Stoilova}, J. Math. Phys. 31, No. 4, 953--988 (1990; Zbl 0712.17025) Full Text: DOI
Palev, Tchavdar D. Highest weight irreducible unitarizable representations of Lie algebras of infinite matrices. The algebra \(A_{\infty}\). (English) Zbl 0712.17010 J. Math. Phys. 31, No. 5, 1078-1084 (1990). Reviewer: Günter Czichowski (Greifswald) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 31, No. 5, 1078--1084 (1990; Zbl 0712.17010) Full Text: DOI
Palev, Tchavdar D. Highest weight representations of the Lie algebra \(\mathfrak{a}(\infty)\). (English. Russian original) Zbl 0712.17009 Funct. Anal. Appl. 24, No. 3, 250-251 (1990); translation from Funkts. Anal. Prilozh. 24, No. 3, 88-89 (1990). Reviewer: Günter Czichowski (Greifswald) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{T. D. Palev}, Funct. Anal. Appl. 24, No. 3, 250--251 (1990; Zbl 0712.17009); translation from Funkts. Anal. Prilozh. 24, No. 3, 88--89 (1990) Full Text: DOI
Palev, Tchavdar D. Highest weight irreducible unitary representations of Lie algebras of infinite matrices. I: The algebra \(\mathfrak{gl}(\infty)\). (English) Zbl 0712.17008 J. Math. Phys. 31, No. 3, 579-586 (1990). Reviewer: Günter Czichowski (Greifswald) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 31, No. 3, 579--586 (1990; Zbl 0712.17008) Full Text: DOI
Palev, Tchavdar D. Highest weight representations of the Lie algebra \(\mathfrak{gl}_{\infty}\). (English. Russian original) Zbl 0712.17007 Funct. Anal. Appl. 24, No. 1, 72-73 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 82-83 (1990). Reviewer: Günter Czichowski (Greifswald) MSC: 17B10 17B65 PDFBibTeX XMLCite \textit{T. D. Palev}, Funct. Anal. Appl. 24, No. 1, 72--73 (1990; Zbl 0712.17007); translation from Funkts. Anal. Prilozh. 24, No. 1, 82--83 (1990) Full Text: DOI
Palev, Ch. D. Essentially typical representations of Lie superalgebras \({\mathfrak gl}(n| m)\) in the Gel’fand-Tsetlin basis. (English. Russian original) Zbl 0707.17017 Funct. Anal. Appl. 23, No. 2, 141-142 (1989); translation from Funkts. Anal. Prilozh. 23, No. 2, 69-70 (1989). Reviewer: I.Kolář MSC: 17B70 17B10 17A70 PDFBibTeX XMLCite \textit{Ch. D. Palev}, Funct. Anal. Appl. 23, No. 2, 141--142 (1989; Zbl 0707.17017); translation from Funkts. Anal. Prilozh. 23, No. 2, 69--70 (1989) Full Text: DOI
Palev, Tchavdar D. Irreducible finite-dimensional representations of the Lie superalgebra gl(n/1) in a Gel’fand-Zetlin basis. (English) Zbl 0676.17015 J. Math. Phys. 30, No. 7, 1433-1442 (1989). Reviewer: J.Van der Jeugt MSC: 17B70 17B10 17A70 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 30, No. 7, 1433--1442 (1989; Zbl 0676.17015) Full Text: DOI
Kamupingene, Alfred Kh.; Nguyen Anh Ky; Palev, Tchavdar D. Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)\(\oplus gl(2)\) basis. I: Typical representations. (English) Zbl 0671.17016 J. Math. Phys. 30, No. 3, 553-570 (1989). Reviewer: J.Van der Jeugt MSC: 17B70 17B10 17A70 PDFBibTeX XMLCite \textit{A. Kh. Kamupingene} et al., J. Math. Phys. 30, No. 3, 553--570 (1989; Zbl 0671.17016) Full Text: DOI
Palev, Tchavdar D. Finite-dimensional representations of the special linear Lie superalgebra \(\text{sl}(1,n)\). II: Nontypical representations. (English) Zbl 0782.17003 J. Math. Phys. 29, No. 12, 2589-2598 (1988). MSC: 17A70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 29, No. 12, 2589--2598 (1988; Zbl 0782.17003) Full Text: DOI
Palev, T. D. Essentially irreducible representations of the Lie superalgebras \({\mathfrak sl}(n/1)\) and \({\mathfrak s}l(n/2)\). (English) Zbl 0674.17012 Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 161-168 (1988). Reviewer: J.Van der Jeugt MSC: 17B70 17B10 17A70 PDFBibTeX XML
Kamupingene, A. Kh.; Palev, T. D. Irreducible finite-dimensional representations of the Lie superalgebra sl(1,2) in a Gel’fand-Zetlin basis. (English) Zbl 0624.17003 Bulg. J. Phys. 14, No. 2, 124-137 (1987). Reviewer: M.Baake MSC: 17A70 17B10 17B70 PDFBibTeX XMLCite \textit{A. Kh. Kamupingene} and \textit{T. D. Palev}, Bulg. J. Phys. 14, No. 2, 124--137 (1987; Zbl 0624.17003)
Palev, T. D. Finite-dimensional irreducible representations of the special linear Lie superalgebra \({\mathfrak sl}(1,n)\). (English) Zbl 0617.17001 C. R. Acad. Bulg. Sci. 40, No. 3, 33-36 (1987). Reviewer: M.Baake MSC: 17A70 17B70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev}, C. R. Acad. Bulg. Sci. 40, No. 3, 33--36 (1987; Zbl 0617.17001)
Palev, Tchavdar D. Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. II: Nontypical representations. (English) Zbl 0614.17003 J. Math. Phys. 28, 272-291 (1987). Reviewer: M.Baake MSC: 17A70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 28, 272--291 (1987; Zbl 0614.17003) Full Text: DOI
Palev, T. D. Finite-dimensional irreducible representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. (English) Zbl 0597.17003 J. Math. Phys. 27, 1994-2001 (1986). Reviewer: M.Baake MSC: 17A70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 27, 1994--2001 (1986; Zbl 0597.17003) Full Text: DOI
Palev, Tchavdar D. Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. I: Typical representations. (English) Zbl 0573.17003 J. Math. Phys. 26, 1640-1660 (1985). Reviewer: M.Baake MSC: 17A70 17B70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 26, 1640--1660 (1985; Zbl 0573.17003) Full Text: DOI
Palev, T. D.; Stoytchev, O. Ts. Finite-dimensional induced representations of the Lie superalgebra sl(1,n). (English) Zbl 0499.17002 C. R. Acad. Bulg. Sci. 35, 733-736 (1982). MSC: 17A70 17B10 PDFBibTeX XMLCite \textit{T. D. Palev} and \textit{O. Ts. Stoytchev}, C. R. Acad. Bulg. Sci. 35, 733--736 (1982; Zbl 0499.17002)
Palev, Tchavdar D. Canonical realizations of Lie superalgebras: Ladder representations of the Lie superalgebra A(m,n). (English) Zbl 0466.17006 J. Math. Phys. 22, 2127-2131 (1981). MSC: 17A70 17B10 81T05 81R10 PDFBibTeX XMLCite \textit{T. D. Palev}, J. Math. Phys. 22, 2127--2131 (1981; Zbl 0466.17006) Full Text: DOI
Palev, T. \(A_3\)-weight multiplicity formula. (English) Zbl 0355.17008 Rep. Math. Phys. 7, 275-279 (1975). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B10 PDFBibTeX XMLCite \textit{T. Palev}, Rep. Math. Phys. 7, 275--279 (1975; Zbl 0355.17008) Full Text: DOI