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Volumn 3, Issue 3, 2001, Pages 393-402

Hochschild cohomology of polynomial algebras

Author keywords

Deformation quantization; Poisson algebras

Indexed keywords


EID: 27144462120     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021919970100041X     Document Type: Article
Times cited : (1)

References (10)
  • 2
    • 0000898844 scopus 로고
    • Existence of star-product and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifold
    • M. De Wilde and P. Lecomte, Existence of star-product and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifold, Letters in Mathematical Physics 7 (1983) 487-496.
    • (1983) Letters in Mathematical Physics , vol.7 , pp. 487-496
    • De Wilde, M.1    Lecomte, P.2
  • 3
    • 0040452531 scopus 로고
    • Obstruction primaire à la déformation
    • Familles d'Espaces Complexes et Fondements de la Géométrie Analytique (11 rue Pierre Curie, PARIS 5e), Ecole Normale Supérieure, Secrétariat mathématique Exposé 4
    • A. Douady, Obstruction primaire à la déformation, Familles d'Espaces Complexes et Fondements de la Géométrie Analytique (11 rue Pierre Curie, PARIS 5e), Séminaire Henri CARTAN, 13e année: 1960/61, Vol. 1, Ecole Normale Supérieure, Secrétariat mathématique (1962), Exposé 4.
    • (1962) Séminaire Henri CARTAN, 13e Année: 1960/61 , vol.1
    • Douady, A.1
  • 4
    • 0001523110 scopus 로고
    • The cohomology structure of an associative ring
    • M. Gerstenhaber, The cohomology structure of an associative ring, Ann. Math. 78 (1963) 267-288.
    • (1963) Ann. Math. , vol.78 , pp. 267-288
    • Gerstenhaber, M.1
  • 5
    • 0002442975 scopus 로고
    • On the deformation of rings and algebras
    • _, On the deformation of rings and algebras, Ann. Math. 79 (1964) 59-103.
    • (1964) Ann. Math. , vol.79 , pp. 59-103
  • 6
    • 0002995773 scopus 로고
    • On the cohomology groups of an associative algebra
    • G. Hochschild, On the cohomology groups of an associative algebra, Ann. Math. 46 (1945) 58-67.
    • (1945) Ann. Math. , vol.46 , pp. 58-67
    • Hochschild, G.1
  • 7
    • 0002231258 scopus 로고
    • A construction of a deformation quantization of a Poisson algebra
    • World Scientific, Singapore
    • H. Omori, Y. Maeda and A. Yoshioka, A construction of a deformation quantization of a Poisson algebra, in Geometry and Its Applications, World Scientific, Singapore (1993), pp. 201-218.
    • (1993) Geometry and Its Applications , pp. 201-218
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3
  • 8
    • 0000686136 scopus 로고
    • Deformation quantizations of Poisson algebras
    • _, Deformation quantizations of Poisson algebras, Contemp. Math. 179 (1994) 213-240.
    • (1994) Contemp. Math. , vol.179 , pp. 213-240
  • 9
    • 84972561016 scopus 로고
    • A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras
    • _, A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras, J. Math. Soc. Japan 46(1) (1994) 25-50.
    • (1994) J. Math. Soc. Japan , vol.46 , Issue.1 , pp. 25-50
  • 10
    • 0034178672 scopus 로고    scopus 로고
    • Deformation quantization of polynomial Poisson algebras
    • M. Penkava and P. Vanhaecke Deformation quantization of polynomial Poisson algebras, J. Algebra 227(1) (2000) 365-393.
    • (2000) J. Algebra , vol.227 , Issue.1 , pp. 365-393
    • Penkava, M.1    Vanhaecke, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.