Schur’s double centralizer theorem for triangular hopf algebras

Miriam Cohen; Sara Estreich; Davida Fischman

doi:10.1090/S0002-9939-1994-1209096-8

Schur’s double centralizer theorem for triangular hopf algebras

Miriam Cohen, Sara Estreich, Davida Fischman

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra gl_R(V). Using Majid's "bosonization" theorem and the above we prove an R-analogue of Schur's double centralizer theorem.

Original language	English
Pages (from-to)	19-29
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	122
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1994-1209096-8
State	Published - Sep 1994
Externally published	Yes

Access to Document

10.1090/S0002-9939-1994-1209096-8

Cite this

@article{c6c81553ea024efc9dd8898d23203120,

title = "Schur{\textquoteright}s double centralizer theorem for triangular hopf algebras",

abstract = "Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra glR(V). Using Majid's {"}bosonization{"} theorem and the above we prove an R-analogue of Schur's double centralizer theorem.",

author = "Miriam Cohen and Sara Estreich and Davida Fischman",

year = "1994",

month = sep,

doi = "10.1090/S0002-9939-1994-1209096-8",

language = "אנגלית",

volume = "122",

pages = "19--29",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - Schur’s double centralizer theorem for triangular hopf algebras

AU - Cohen, Miriam

AU - Estreich, Sara

AU - Fischman, Davida

PY - 1994/9

Y1 - 1994/9

N2 - Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra glR(V). Using Majid's "bosonization" theorem and the above we prove an R-analogue of Schur's double centralizer theorem.

AB - Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra glR(V). Using Majid's "bosonization" theorem and the above we prove an R-analogue of Schur's double centralizer theorem.

UR - http://www.scopus.com/inward/record.url?scp=84966216011&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1994-1209096-8

DO - 10.1090/S0002-9939-1994-1209096-8

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

SN - 0002-9939

VL - 122

SP - 19

EP - 29

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Schur’s double centralizer theorem for triangular hopf algebras

Abstract

Access to Document

Other files and links

Fingerprint

Cite this