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Murray Gerstenhaber - Publications

Affiliations: 
Mathematics University of Pennsylvania, Philadelphia, PA, United States 
Area:
Algebraic Deformation Theory, Structure of Algebras, Quantum Groups, Probabilistic Inference in Law
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41 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2017 Gerstenhaber M. Path algebras, wave-particle duality, and quantization of phase space Letters in Mathematical Physics. 107: 409-426. DOI: 10.1007/S11005-016-0909-8  0.3
2015 Gerstenhaber M, Giaquinto A. Deformations Associated with Rigid Algebras Journal of Homotopy and Related Structures. 10: 437-458. DOI: 10.1007/S40062-013-0068-X  0.48
2014 Gerstenhaber M, Giaquinto A. On the cohomology of the Weyl algebra, the quantum plane, and the q-Weyl algebra Journal of Pure and Applied Algebra. 218: 879-887. DOI: 10.1016/J.Jpaa.2013.10.006  0.408
2014 Gerstenhaber M. Self-dual and quasi self-dual algebras Israel Journal of Mathematics. 200: 193-211. DOI: 10.1007/S11856-014-0013-7  0.373
2010 Gerstenhaber M, Schaps M. Finite Posets And Their Representation Algebras International Journal of Algebra and Computation. 20: 27-38. DOI: 10.1142/S0218196710005510  0.359
2009 Gerstenhaber M, Giaquinto A. The Principal Element of a Frobenius Lie Algebra Letters in Mathematical Physics. 88: 333-341. DOI: 10.1007/S11005-009-0321-8  0.311
2005 Gerstenhaber M, Giaquinto A, Schack SD. Diagrams of Lie algebras Journal of Pure and Applied Algebra. 196: 169-184. DOI: 10.1016/J.Jpaa.2004.08.022  0.435
2004 Bonneau P, Gerstenhaber M, Giaquinto A, Sternheimer D. Quantum groups and deformation quantization: Explicit approaches and implicit aspects Journal of Mathematical Physics. 45: 3703-3741. DOI: 10.1063/1.1786681  0.458
2001 Gerstenhaber M, Giaquinto A, Schaps ME. The Donald–Flanigan Problem for Finite Reflection Groups Letters in Mathematical Physics. 56: 41-72. DOI: 10.1023/A:1010846906745  0.392
2001 Wu J, Gerstenhaber M, Stasheff J. On the Hodge decomposition of differential graded bi-algebras Journal of Pure and Applied Algebra. 162: 103-125. DOI: 10.1016/S0022-4049(00)00166-3  0.393
1999 Gerstenhaber M. Developments from Barr's thesis☆ Journal of Pure and Applied Algebra. 143: 205-220. DOI: 10.1016/S0022-4049(98)00111-X  0.415
1998 Gerstenhaber M. Deformation of Towers of Algebras and Quantized Intersection Cardinality Functions Letters in Mathematical Physics. 43: 87-103. DOI: 10.1023/A:1007474307417  0.426
1997 Gerstenhaber M, Schaps ME. Hecke algebras, _{}_{}, and the Donald-Flanigan conjecture for _{} Transactions of the American Mathematical Society. 349: 3353-3371. DOI: 10.1090/S0002-9947-97-01761-3  0.452
1996 Gerstenhaber M, Schaps ME. The modular version of Maschke's theorem for normal abelian p-Sylows Journal of Pure and Applied Algebra. 108: 257-264. DOI: 10.1016/0022-4049(95)00047-X  0.373
1995 Gerstenhaber M, Voronov AA. Homotopy G -algebras and moduli space operad International Mathematics Research Notices. 1995: 141-153. DOI: 10.1155/S1073792895000110  0.407
1995 Flato M, Gerstenhaber M, Voronov AA. Cohomology and deformation of Leibniz pairs Letters in Mathematical Physics. 34: 77-90. DOI: 10.1007/Bf00739377  0.389
1994 Bonneau P, Flato M, Gerstenhaber M, Pinczon G. The hidden group structure of quantum groups: strong duality, rigidity and preferred deformations Communications in Mathematical Physics. 161: 125-156. DOI: 10.1007/Bf02099415  0.408
1994 Gerstenhaber M, Green DJ. A Group-Theoretic Consequence of the Donald-Flanigan Conjecture Journal of Algebra. 166: 356-363. DOI: 10.1006/Jabr.1994.1156  0.344
1993 Coll V, Gerstenhaber M, Schack SD. Universal deformation formulas and breaking symmetry Journal of Pure and Applied Algebra. 90: 201-219. DOI: 10.1016/0022-4049(93)90041-Q  0.459
1991 Gerstenhaber M, Schack SD. The shuffle bialgebra and the cohomology of commutative algebras Journal of Pure and Applied Algebra. 70: 263-272. DOI: 10.1016/0022-4049(91)90073-B  0.462
1990 Gerstenhaber M, Schack SD. Bialgebra cohomology, deformations, and quantum groups. Proceedings of the National Academy of Sciences of the United States of America. 87: 478-81. PMID 11607053 DOI: 10.1073/Pnas.87.1.478  0.391
1988 Gerstenhaber M, Schack SD. The cohomology of presheaves of algebras. Is presheaves over a partially ordered set Transactions of the American Mathematical Society. 310: 135-165. DOI: 10.1090/S0002-9947-1988-0965749-X  0.438
1987 Gerstenhaber M, Schack SD. A hodge-type decomposition for commutative algebra cohomology Journal of Pure and Applied Algebra. 48: 229-247. DOI: 10.1016/0022-4049(87)90112-5  0.305
1986 Gerstenhaber M, Schack SD. Relative Hochschild cohomology, rigid algebras, and the Bockstein Journal of Pure and Applied Algebra. 43: 53-74. DOI: 10.1016/0022-4049(86)90004-6  0.451
1985 Gerstenhaber M, Schack SD. On the cohomology of an algebra morphism Journal of Algebra. 95: 245-262. DOI: 10.1016/0021-8693(85)90104-8  0.346
1983 Gerstenhaber M, Schack SD. On the deformation of algebra morphisms and diagrams Transactions of the American Mathematical Society. 279: 1-50. DOI: 10.1090/S0002-9947-1983-0704600-5  0.441
1983 Gerstenhaber M, Schack SD. Simplicial cohomology is Hochschild cohomology Journal of Pure and Applied Algebra. 30: 143-156. DOI: 10.1016/0022-4049(83)90051-8  0.396
1981 Gerstenhaber M, May R. Geometry of subalgebras and inseparable extensions Journal of Algebra. 72: 29-53. DOI: 10.1016/0021-8693(81)90311-2  0.463
1972 Gerstenhaber M. The fundamental form of a finite purely inseparable field extension Bulletin of the American Mathematical Society. 78: 717-720. DOI: 10.1090/S0002-9904-1972-13000-3  0.319
1970 Gerstenhaber M, Zaromp A. On the Galois theory of purely inseparable field extensions Bulletin of the American Mathematical Society. 76: 1011-1014. DOI: 10.1090/S0002-9904-1970-12535-6  0.318
1968 Gerstenhaber M. The obstruction to an automorphism of a filtered ring Bulletin of the American Mathematical Society. 74: 695-697. DOI: 10.1090/S0002-9904-1968-11999-8  0.357
1967 Gerstenhaber M. The third cohomology group of a ring and the commutative cohomology theory Bulletin of the American Mathematical Society. 73: 950-954. DOI: 10.1090/S0002-9904-1967-11861-5  0.385
1966 Gerstenhaber M. On the construction of division rings by the deformation of fields. Proceedings of the National Academy of Sciences of the United States of America. 55: 690-2. PMID 16591346 DOI: 10.1073/Pnas.55.4.690  0.325
1965 Gerstenhaber M. On infinite inseparable extensions of exponent one Bulletin of the American Mathematical Society. 71: 878-881. DOI: 10.1090/S0002-9904-1965-11424-0  0.337
1964 Gerstenhaber M. A UNIFORM COHOMOLOGY THEORY FOR ALGEBRAS. Proceedings of the National Academy of Sciences of the United States of America. 51: 626-9. PMID 16591163 DOI: 10.1073/Pnas.51.4.626  0.397
1964 Gerstenhaber M. On the Deformation of Rings and Algebras Annals of Mathematics. 79: 59-103. DOI: 10.2307/1970484  0.418
1964 Gerstenhaber M. On the Galois theory of inseparable extensions Bulletin of the American Mathematical Society. 70: 561-566. DOI: 10.1090/S0002-9904-1964-11201-5  0.305
1961 Gerstenhaber M. On Dominance And Varieties Of Commuting Matrices Annals of Mathematics. 73: 324. DOI: 10.2307/1970336  0.341
1961 Gerstenhaber M. Dominance Over The Classical Groups Annals of Mathematics. 74: 532. DOI: 10.2307/1970297  0.305
1959 Gerstenhaber M. Note on a theorem of Wielandt Mathematische Zeitschrift. 71: 141-142. DOI: 10.1007/Bf01181394  0.359
1956 Gerstenhaber M. ON CANONICAL CONSTRUCTIONS. II. Proceedings of the National Academy of Sciences of the United States of America. 42: 881-3. PMID 16589965 DOI: 10.1073/Pnas.42.11.881  0.319
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