Cui, Weideng Canonical bases of modified quantum algebras for type \(A_2\). (English) Zbl 1434.17019 J. Algebra Appl. 17, No. 6, Article ID 1850113, 27 p. (2018). MSC: 17B37 20G42 81R50 PDF BibTeX XML Cite \textit{W. Cui}, J. Algebra Appl. 17, No. 6, Article ID 1850113, 27 p. (2018; Zbl 1434.17019) Full Text: DOI
Stoilova, N. I.; Van der Jeugt, J. A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. (English) Zbl 1328.17009 J. Phys. A, Math. Theor. 48, No. 15, Article ID 155202, 16 p. (2015). MSC: 17B10 17B20 81T30 PDF BibTeX XML Cite \textit{N. I. Stoilova} and \textit{J. Van der Jeugt}, J. Phys. A, Math. Theor. 48, No. 15, Article ID 155202, 16 p. (2015; Zbl 1328.17009) Full Text: DOI arXiv
Devadas, Sheela; Sam, Steven V. Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic. (English) Zbl 1336.20006 J. Commut. Algebra 6, No. 4, 525-559 (2014). MSC: 20C08 20F55 16S99 16G20 17B10 PDF BibTeX XML Cite \textit{S. Devadas} and \textit{S. V. Sam}, J. Commut. Algebra 6, No. 4, 525--559 (2014; Zbl 1336.20006) Full Text: DOI Euclid arXiv
Baumann, Pierre; Kamnitzer, Joel; Tingley, Peter Affine Mirković-Vilonen polytopes. (English) Zbl 1332.17012 Publ. Math., Inst. Hautes Étud. Sci. 120, 113-205 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 16G20 17B67 52B12 PDF BibTeX XML Cite \textit{P. Baumann} et al., Publ. Math., Inst. Hautes Étud. Sci. 120, 113--205 (2014; Zbl 1332.17012) Full Text: DOI arXiv
Wang, Yi Sign Hibi cones and the anti-row iterated Pieri algebras for the general linear groups. (English) Zbl 1301.06036 J. Algebra 410, 355-392 (2014). MSC: 06F05 05E10 13F50 17B10 20G05 PDF BibTeX XML Cite \textit{Y. Wang}, J. Algebra 410, 355--392 (2014; Zbl 1301.06036) Full Text: DOI
Etingof, Pavel; Stoica, Emanuel Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). (English) Zbl 1237.20005 Represent. Theory 13, 349-370 (2009). MSC: 20C08 20C30 20F55 16S99 16G20 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{E. Stoica}, Represent. Theory 13, 349--370 (2009; Zbl 1237.20005) Full Text: DOI
Abe, Noriyuki; Yamashita, Hiroshi A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of \(\mathrm{Mp}(n,\mathbb R)\). (English) Zbl 1242.22018 J. Lie Theory 19, No. 4, 671-683 (2009). Reviewer: Annegret Paul (Kalamazoo) MSC: 22E46 17B10 22E45 PDF BibTeX XML Cite \textit{N. Abe} and \textit{H. Yamashita}, J. Lie Theory 19, No. 4, 671--683 (2009; Zbl 1242.22018) Full Text: Link
Tang, Xin Construct irreducible representations of quantum groups \(U_q (f_m (K))\). (English) Zbl 1183.17007 Front. Math. China 3, No. 3, 371-397 (2008). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B10 16T05 16T20 16D60 16D25 PDF BibTeX XML Cite \textit{X. Tang}, Front. Math. China 3, No. 3, 371--397 (2008; Zbl 1183.17007) Full Text: DOI
Szczesny, Matthew On the structure and representations of the insertion-elimination Lie algebra. (English) Zbl 1160.17018 Lett. Math. Phys. 84, No. 1, 65-74 (2008). MSC: 17B65 17B10 17B66 17B81 PDF BibTeX XML Cite \textit{M. Szczesny}, Lett. Math. Phys. 84, No. 1, 65--74 (2008; Zbl 1160.17018) Full Text: DOI arXiv
Sun, Binyong Lowest weight modules of \(\widetilde{\mathrm{Sp}_{2n}(\mathbb R)}\) of minimal Gelfand-Kirillov dimension. (English) Zbl 1148.22015 J. Algebra 319, No. 7, 3062-3074 (2008). Reviewer: Hongyu He (Baton Rouge) MSC: 22E55 PDF BibTeX XML Cite \textit{B. Sun}, J. Algebra 319, No. 7, 3062--3074 (2008; Zbl 1148.22015) Full Text: DOI
Loke, Hung Yean Howe quotients of unitary characters and unitary lowest weight modules. (With an appendix by Soo Teck Lee). (English) Zbl 1133.22005 Represent. Theory 10, 21-47 (2006). MSC: 22E46 22E47 PDF BibTeX XML Cite \textit{H. Y. Loke}, Represent. Theory 10, 21--47 (2006; Zbl 1133.22005) Full Text: DOI
Karakhanyan, D. R. Constructing representations of the nonstandardly deformed algebra \(\mathrm{sl}_{\xi }(2)\). (English) Zbl 1178.81126 Theor. Math. Phys. 138, No. 2, 177-189 (2004); translation from Teor. Mat. Fiz. 138, No. 2, 209-224 (2004). MSC: 81R50 17B10 17B37 PDF BibTeX XML Cite \textit{D. R. Karakhanyan}, Theor. Math. Phys. 138, No. 2, 177--189 (2004; Zbl 1178.81126); translation from Teor. Mat. Fiz. 138, No. 2, 209--224 (2004) Full Text: DOI
Su, Yucai Quasifinite representations of a family of Lie algebras of Block type. (English) Zbl 1051.17006 J. Pure Appl. Algebra 192, No. 1-3, 293-305 (2004). Reviewer: Gordon Brown (Boulder) MSC: 17B10 17B65 17B60 PDF BibTeX XML Cite \textit{Y. Su}, J. Pure Appl. Algebra 192, No. 1--3, 293--305 (2004; Zbl 1051.17006) Full Text: DOI
Günaydin, Murat Generalized AdS/CFT dualities and unitary realizations of space-time symmetries of M-theory. (English) Zbl 0992.81068 Classical Quantum Gravity 18, No. 16, 3131-3141 (2001). MSC: 81T30 83E30 81R30 83E50 81T40 PDF BibTeX XML Cite \textit{M. Günaydin}, Classical Quantum Gravity 18, No. 16, 3131--3141 (2001; Zbl 0992.81068) Full Text: DOI
Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. Perturbative and instanton corrections to the OPE of CPOs in \(N=4\) SYM\(_4\). (English) Zbl 1097.81567 Nucl. Phys., B 602, No. 1-2, 238-260 (2001). MSC: 81T13 81T60 81R05 PDF BibTeX XML Cite \textit{G. Arutyunov} et al., Nucl. Phys., B 602, No. 1--2, 238--260 (2001; Zbl 1097.81567) Full Text: DOI arXiv
Dobrev, V. K.; Doebner, H.-D.; Mrugalla, Ch. Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations. (English) Zbl 0884.22009 Rep. Math. Phys. 39, No. 2, 201-218 (1997). Reviewer: A. A. Bogush (Minsk) MSC: 22E60 17B10 17B70 81Q60 PDF BibTeX XML Cite \textit{V. K. Dobrev} et al., Rep. Math. Phys. 39, No. 2, 201--218 (1997; Zbl 0884.22009) Full Text: DOI
Dobrev, V. K.; Truini, P. Polynomial realization of the \(\text{U}_ q(\text{sl}(3))\) Gel’fand-(Weyl)-Zetlin basis. (English) Zbl 0882.17005 J. Math. Phys. 38, No. 7, 3750-3767 (1997). MSC: 17B37 PDF BibTeX XML Cite \textit{V. K. Dobrev} and \textit{P. Truini}, J. Math. Phys. 38, No. 7, 3750--3767 (1997; Zbl 0882.17005) Full Text: DOI
Dobrev, V. K.; Truini, P. Irregular \(U_q(sl(3))\) representations at roots of unity via Gel’fand-(Weyl)-Zetlin basis. (English) Zbl 0965.17009 J. Math. Phys. 38, No. 5, 2631-2651 (1997). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{V. K. Dobrev} and \textit{P. Truini}, J. Math. Phys. 38, No. 5, 2631--2651 (1997; Zbl 0965.17009) Full Text: DOI
Dobrev, V. K.; Doebner, H.-D.; Mrugalla, C. A \(q\)-Schrödinger algebra, its lowest-weight representations and generalized \(q\)-deformed heat/Schrödinger equations. (English) Zbl 0901.17012 J. Phys. A, Math. Gen. 29, No. 18, 5909-5918 (1996). MSC: 17B37 39A10 81R50 PDF BibTeX XML Cite \textit{V. K. Dobrev} et al., J. Phys. A, Math. Gen. 29, No. 18, 5909--5918 (1996; Zbl 0901.17012) Full Text: DOI
Mathieu, Olivier Classification of Harish-Chandra modules over the Virasoro Lie algebra. (English) Zbl 0779.17025 Invent. Math. 107, No. 2, 225-234 (1992). Reviewer: H.Boseck (Greifswald) MSC: 17B68 17B10 17B70 PDF BibTeX XML Cite \textit{O. Mathieu}, Invent. Math. 107, No. 2, 225--234 (1992; Zbl 0779.17025) Full Text: DOI EuDML
Günaydin, M.; Scalise, R. J. Unitary lowest weight representations of the noncompact supergroup \(OSp(2m^*/2n)\). (English) Zbl 0741.22016 J. Math. Phys. 32, No. 3, 599-606 (1991). Reviewer: J.Van der Jeugt (Gent) MSC: 22E70 17A70 PDF BibTeX XML Cite \textit{M. Günaydin} and \textit{R. J. Scalise}, J. Math. Phys. 32, No. 3, 599--606 (1991; Zbl 0741.22016) Full Text: DOI
Schmidt, Martin U. Lowest weight representations of some infinite dimensional groups on Fock spaces. (English) Zbl 0729.22023 Acta Appl. Math. 18, No. 1, 59-84 (1990). Reviewer: T.S.Bhanu Murthy (Madras) MSC: 22E65 22E70 PDF BibTeX XML Cite \textit{M. U. Schmidt}, Acta Appl. Math. 18, No. 1, 59--84 (1990; Zbl 0729.22023) Full Text: DOI
Casián, Luis Kazhdan-Lusztig multiplicity formulas for Kac-Moody algebras. (English. Abridged French version) Zbl 0711.17013 C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 333-337 (1990). Reviewer: N.Andruskiewitsch MSC: 17B67 14F05 22E47 17B10 PDF BibTeX XML Cite \textit{L. Casián}, C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 333--337 (1990; Zbl 0711.17013)
Schmitt, H. A.; Halse, P.; Barrett, B. R.; Balantekin, A. B. Positive discrete series representations of the noncompact superalgebra Osp(4/2,R). (English) Zbl 0703.17001 J. Math. Phys. 30, No. 11, 2714-2720 (1989). Reviewer: M.Scheunert MSC: 17A70 81V35 PDF BibTeX XML Cite \textit{H. A. Schmitt} et al., J. Math. Phys. 30, No. 11, 2714--2720 (1989; Zbl 0703.17001) Full Text: DOI
Chari, Vyjayanthi; Pressley, Andrew Integrable representations of Kac-Moody algebras: Results and open problems. (English) Zbl 0779.17023 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 3-24 (1989). Reviewer: H.Boseck (Greifswald) MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. Pressley}, Adv. Ser. Math. Phys. 7, 3--24 (1989; Zbl 0779.17023)
Petkova, V. B.; Sotkov, G. M.; Todorov, I. T. Local field representations of the conformal group and their physical interpretation. (English) Zbl 0746.22019 Supermanifolds, geometrical methods and conformal groups, Proc. Int. Workshop Quantum Field Theory, Varna/Bulg., 63-92 (1989). Reviewer: P.Kosiński (Łódź) MSC: 22E70 81R05 81V10 81T10 PDF BibTeX XML
Saal, Linda The Szegö operator on SU(n,1). (English) Zbl 0729.22019 Rend. Semin. Mat., Torino 46, No. 2, 233-245 (1988). Reviewer: Diep Do Ngoc (Hanoi) MSC: 22E46 43A80 17B10 22E45 43A65 PDF BibTeX XML Cite \textit{L. Saal}, Rend. Semin. Mat., Torino 46, No. 2, 233--245 (1988; Zbl 0729.22019)
Günaydin, M.; Hyun, S. J. Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R). (English) Zbl 0681.22018 J. Math. Phys. 29, No. 11, 2367-2376 (1988). Reviewer: A.Bogush MSC: 22E70 17B45 81R10 17B70 PDF BibTeX XML Cite \textit{M. Günaydin} and \textit{S. J. Hyun}, J. Math. Phys. 29, No. 11, 2367--2376 (1988; Zbl 0681.22018) Full Text: DOI
Paunov, R. P.; Todorov, I. T. Homogeneous space construction of modular invariant QFT models with a chiral U(1) current. (English) Zbl 0672.53066 Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 555-568 (1988). MSC: 53C80 22E70 53C30 81T99 17B10 17B67 PDF BibTeX XML
Künemund, Thomas Die Darstellungen der symplektischen und konformen Superalgebren. (Representations of symplectic and conformal superalgebras). (German) Zbl 0591.17003 Fakultät für Physik der Technischen Universität München. 185 S. (1985). Reviewer: M.Scheunert MSC: 17A70 17B10 PDF BibTeX XML
Rowe, D. J.; Rosensteel, G.; Carr, R. Analytical expressions for the matrix elements of the non-compact symplectic algebra. (English) Zbl 0555.20031 J. Phys. A 17, L399-L403 (1984). Reviewer: C.H.Brans MSC: 20G45 22E70 81V35 PDF BibTeX XML Cite \textit{D. J. Rowe} et al., J. Phys. A, Math. Gen. 17, L399--L403 (1984; Zbl 0555.20031) Full Text: DOI
Johnson, Kenneth D. On a ring of invariant polynomials on a Hermitian symmetric space. (English) Zbl 0491.22007 J. Algebra 67, 72-81 (1980). MSC: 22E46 PDF BibTeX XML Cite \textit{K. D. Johnson}, J. Algebra 67, 72--81 (1980; Zbl 0491.22007) Full Text: DOI