Publication Search Results

Matches for:

  • Author=Zhang RB

1. Billig Y, Molev AI, Zhang RB. Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus, (2007), preprint


2. Coulembier K, Zhang RB. Invariant integration on orthosymplectic and unitary supergroups, Journal of Physics A: Mathematical and Theoretical, 45 (2012), 32 pages.


3. Chaichian M, Tureanu A, Zhang RB. Extended Poincar´e supersymmetry in three dimensions and supersymmetric anyons, Journal of Mathematical Physics, 53 (2012), no. 7, 072302 (8 pages).


4. Lehrer GI, Zhang RB. Quantum group actions on rings and equivariant K-theory, Contemporary Mathematics, 565 (2012), 115–141.


5. Su Y, Zhang RB. Generalised Verma modules for the orthosymplectic Lie superalgebra ospk|2, Journal of Algebra, 357 (2012), 94–115.


6. Su Y, Zhang RB. Generalised Jantzen filtration of Lie superalgebras I., Journal of the European Mathematical Society, 14 (2012), no. 4, 1103–1133.


7. Lehrer GI, Zhang RB. The second fundamental theorem of invariant theory for the orthogonal group, Annals of Mathematics, 176 (2012), 2031–2054.


8. Lam N, Zhang RB. u-Cohomology formula for unitarizable modules over general linear superalgebras, Journal of Algebra, 327 (2011), 50–70.


9. Lehrer GI, Zhang RB, Zhang H. A quantum analogue of the first fundamental theorem of classical invariant theory, Communications in Mathematical Physics, 301 (2011), 131–174.


10. Meng G, Zhang RB. Generalized MICZ-Kepler problems and unitary highest weight modules, Journal of Mathematical Physics, 52 (2011), no. 4, 042106 (23 pages).


11. Lehrer GI, Nakano DK, Zhang RB. Detecting cohomology for Lie superalgebras, Advances in Mathematics, 228 (2011), no. 4, 2098–2115.


12. Liu X, Zhang RB. Topological vortices in chiral gauge theory of graphene, Annals of Physics, 325 (2010), 384–391.


13. Zhang RB, Zhang X. Projective module description of embedded noncommutative spaces, Reviews in Mathematical Physics, 22 (2010), no. 5, 507–531. MR2658423


14. Ke WF, Lai KF, Zhang RB. Quantum codes from Hadamard matrices, Linear and Multilinear Algebra, 58 (2010), no. 7, 847–854.


15. Sun W, Wang D, Xie N, Zhang RB, Zhang X. Gravitational collapse of spherically symmetric stars in noncommutative general relativity, The European Physical Journal C, 69 (2010), 271–279.


16. Lehrer GI, Zhang RB. A Temperley-Lieb analogue for the BMW Algebra, Representation Theory of Algebraic Groups and Quantum Groups, Progress in Mathematics, Birkhauser, USA, (2010), 348. ISBN 978-0-8176-4696-7


17. Wu Y, Zhang RB. Unitary highest weight representations of quantum general linear superalgebra, Journal of Algebra, 321 (2009), 3568–3593. MR2510063


18. Wang D, Zhang RB, Zhang RB. Quantum deformations of Schwarzchild-de Sitter spacetimes, Classical Quantum Gravity, 26 (2009), no. 8, 085014–08528.


19. Wang D, Zhang RB, Zhang X. Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves, The European Physical Journal C, 64 (2009), 439–444. MR2563057


20. Zhang G, Zhang RB. Equivariant vector bundles on quantum homogeneous spaces, Mathematical research letters, 15 (2008), no. 2, 297–307. MR2452288


21. Chaichian M, Kulish PP, Tureanu A, Zhang RB, Zhang X. Noncommutative fields and actions of twisted Poincaré algebra, Journal of Mathematical Physics, 49 (2008), no. 4, 16 pp. MR2390766


22. Zhang RB. Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems, Communications in Mathematical Physics, 280 (2008), no. 2, 545–562. MR2395482


23. Billig Y, Molev AI, Zhang RB. Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus, Advances in Mathematics, 218 (2008), 1972–2004. MR2431666


24. Cheng SJ, Wang Q, Zhang RB. Super Duality and Kazhdan-Lusztig Polynomials, Transactions of the American mathematical society, 360 (2008), no. 11, 5883–5924. MR2425696


25. Chaichian M, Tureanu A, Zhang RB, Zhang X. Riemannian geometry of noncommutative surfaces, Journal of Mathematical Physics, 49 (2008), no. 7, 073511–1 (26 pp).


26. Lehrer GI, Zhang RB. On Endomorphisms of Quantum Tensor Space, Letters in mathematical physics, 86 (2008), 209–227. MR2465755


27. Su Y, Zhang RB. Character and dimension formulae for general linear superalgebra, Advances in Mathematics, 211 (2007), no. 1, 1–33. MR2313526


28. Su Y, Zhang RB. Cohomology of Lie SuperAlgebras \(\mathrm{SL}_{m|n}\) and \(\mathrm{OSP}_{2|2n}\), Proceedings of the London Mathematical Society, 94 (2007), no. 1, 91–136. MR2293466


29. Cheng SJ, Wang W, Zhang RB. A Fock space approach to representation theory of osp(2|2n), Transformation Groups, 12 (2007), no. 2, 209–225. MR2323682


30. Zhang H, Zhang RB. Dual canonical bases for the quantum general linear supergroup, Journal of Algebra, 304 (2006), no. 2, 1026–1058. MR2264289


31. Chebotar MA, Ke WF, Lee PH, Zhang RB. On maps preserving zero Jordan products, Monatshefte für Mathematik, 149 (2006), no. 2, 91–101. MR2264576


32. Lehrer GI, Zhang RB. Strongly multiplicity free modules for Lie algebras and quantum groups, Journal of Algebra, 306 (2006), no. 1, 138–174. MR2271576


33. Zhang RB, Zou YM. Spherical functions on homogeneous superspaces, Journal of Mathematical Physics, 46 (2005), no. 4, 21. MR1889133


34. Jarvis PD, Zhang RB. Resolution of the GL(3)\supset O(3) state labelling problem via the O(3)-invariant Bethe subalgebra of the twisted Yangian, Journal of Physics. A. Mathematical and General, 38 (2005), no. 14, L219–L226. MR2161723


35. Scheunert M, Zhang RB. Integration on Lie supergroups: A Hopf superalgebra approach, Journal of Algebra, 292 (2005), 324–342. MR2172158


36. Dobrev VK, Zhang RB. Positive energy unitary irreducible representations of the superalgebras \(\mathrm{osp}(1|2n, \mathbb{R})\), Akademiya Nauk SSR. Yadernaya Fizika, 68 (2005), no. 10, 1724–1732. MR2189518


37. Zhang H, Zhang RB. Canonical bases for the quantum special linear group and invariant subalgebras, Letters in Mathematical Physics, 73 (2005), 165–181. MR2188291


38. Lam N, Zhang RB. Quasi-finite modules for Lie superalgebras of infinite rank, Transactions of the American Mathematical Society, 358 (2005), no. 1, 403–439. MR2171240


39. Cheng SJ, Zhang RB. Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras, Advances in Mathematics, 182 (2004), 124–172. MR2028498


40. Cheng SJ, Zhang RB. An Analogue of Kostant's u-Cohomology Formula for the General Linear superalgebra, International Mathematics Research Notices, 1 (2004), 31–53. MR2036954


41. Cheng SJ, Lam N, Zhang RB. Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra, Journal of Algebra, 273 (2004), no. 2, 780–805. MR2037723


42. Molev AI, Tolstoy VN, Zhang RB. On irreducibility of tensor products of evaluation modules for the quantum affine algebra, Journal of Physics. A. Mathematical and General, 37 (2004), 2385 – 2399. MR2045932


43. Zhang RB. Quantum superalgebra representations on cohomology groups of non-commutative bundles, Journal of Pure and Applied Algebra, 191 (2004), 285–314. MR2059616


44. Dobrev VK, Miteva AM, Zhang RB, Zlatev BS. On the unitarity of \(D=9,\, 10,\, 11\) conformal supersymmetry, Czechoslovak Journal of Physics, 54 (2004), 1249–1255. MR2123679


45. Zhang RB. Howe duality and the quantum general linear group, Proceedings of the American Mathematical Society, 131 (2003), 2681–2692. 2004b:17036


46. Lai KF, Zhang RB. Multiplicity free actions of quantum groups and generalized Howe duality, Letters in Mathematical Physics, 64 (2003), 255–272. MR2009264


47. Scheunert M, Zhang RB. The general linear supergroup and its Hopf superalgebra of regular functions, Journal of Algebra, 254 (2002), 44–83. 2003h:16069


48. Zhang RB. Quantum enveloping superalgebras and link invariants, Journal of Mathematical Physics, 43 (2002), 2029–2048. 2003a:17022


49. Scheunert M, Zhang RB. Invariant integration on classical and quantum Lie supergroups, Journal of Mathematical Physics, 42 (2001), 3871–3897. 2002j:17036


50. Carey AL, Paolucci A, Zhang RB. Quantum group actions on the Cuntz algebra., Annales Henri Poincaré, 1 (2000), no. 6, 1097–1122. 2001m:17011


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