Research output: Contribution to journal › Article

**Yangian of the queer Lie superalgebra.** / Nazarov, Maxim.

Research output: Contribution to journal › Article

Nazarov, M 1999, 'Yangian of the queer Lie superalgebra', *Communications in Mathematical Physics*, vol. 208, no. 1, pp. 195-223. https://doi.org/10.1007/s002200050754

Nazarov, M. (1999). Yangian of the queer Lie superalgebra. *Communications in Mathematical Physics*, *208*(1), 195-223. https://doi.org/10.1007/s002200050754

Nazarov M. Yangian of the queer Lie superalgebra. Communications in Mathematical Physics. 1999 Dec;208(1):195-223. https://doi.org/10.1007/s002200050754

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title = "Yangian of the queer Lie superalgebra",

abstract = "Consider the complex matrix Lie superalgebra glNjN with the standard generatorsEij , where i; j D 1; : : : ;N. Define an involutory automorphism of glNjNby .Eij / D E-i;-j . The twisted polynomial current Lie superalgebrag D fX.u/ 2 glNjNTuU V .X.u// D X.-u/ghas a natural Lie co-superalgebra structure.We quantise the universal enveloping algebra U(.g/) as a co-Poisson Hopf superalgebra. For the quantised algebra we give a description of the centre, and construct the double in the sense of Drinfeld.We also construct a wide class of irreducible representations of the quantised algebra.",

keywords = "BAXTER EQUATION, ALGEBRAS, REPRESENTATIONS",

author = "Maxim Nazarov",

year = "1999",

month = "12",

doi = "10.1007/s002200050754",

language = "English",

volume = "208",

pages = "195--223",

journal = "Communications in Mathematical Physics",

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number = "1",

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T1 - Yangian of the queer Lie superalgebra

AU - Nazarov, Maxim

PY - 1999/12

Y1 - 1999/12

N2 - Consider the complex matrix Lie superalgebra glNjN with the standard generatorsEij , where i; j D 1; : : : ;N. Define an involutory automorphism of glNjNby .Eij / D E-i;-j . The twisted polynomial current Lie superalgebrag D fX.u/ 2 glNjNTuU V .X.u// D X.-u/ghas a natural Lie co-superalgebra structure.We quantise the universal enveloping algebra U(.g/) as a co-Poisson Hopf superalgebra. For the quantised algebra we give a description of the centre, and construct the double in the sense of Drinfeld.We also construct a wide class of irreducible representations of the quantised algebra.

AB - Consider the complex matrix Lie superalgebra glNjN with the standard generatorsEij , where i; j D 1; : : : ;N. Define an involutory automorphism of glNjNby .Eij / D E-i;-j . The twisted polynomial current Lie superalgebrag D fX.u/ 2 glNjNTuU V .X.u// D X.-u/ghas a natural Lie co-superalgebra structure.We quantise the universal enveloping algebra U(.g/) as a co-Poisson Hopf superalgebra. For the quantised algebra we give a description of the centre, and construct the double in the sense of Drinfeld.We also construct a wide class of irreducible representations of the quantised algebra.

KW - BAXTER EQUATION

KW - ALGEBRAS

KW - REPRESENTATIONS

U2 - 10.1007/s002200050754

DO - 10.1007/s002200050754

M3 - Article

VL - 208

SP - 195

EP - 223

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -