On the center and the antipode of the super-Yangian of Q(1)

Abstract For the queer Lie superalgebra Q (1), we explicitly describe the center of the super-Yangian Y Q (1) of Q (1) in terms of generators of Y Q (1). We also describe the square of the antipodal map on Y Q (1) and use the antipode to construct an involutive automorphism of Y Q (1).

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Publication Details

Journal
Journal of Physics Conference Series
Published
2024-12-01
DOI
https://doi.org/10.1088/1742-6596/2912/1/012047
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

On the center and the antipode of the super-Yangian of Q(1)

Elena Poletaeva
Journal of Physics Conference Series
Algebraic structures and combinatorial models
article

On the center and the antipode of the super-Yangian of Q(1)

Elena Poletaeva
article en

Abstract

Abstract For the queer Lie superalgebra Q (1), we explicitly describe the center of the super-Yangian Y Q (1) of Q (1) in terms of generators of Y Q (1). We also describe the square of the antipodal map on Y Q (1) and use the antipode to construct an involutive automorphism of Y Q (1).

Journal of Physics Conference SeriesVol. 2912(1)
The University of Texas Rio Grande Valley (US)
Openalex Percentile: Top 64%
Algebraic structures and combinatorial models
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On the center and the antipode of the super-Yangian of Q(1) — Elena Poletaeva · Journal of Physics Conference Series (2024) | TGRS Research Map | TGRS