Quantised 𝔰𝔩 2 -differential algebras

Andrey Krutov; Pavle Pandžić

Archivum Mathematicum (2024)

  • Volume: 060, Issue: 5, page 351-364
  • ISSN: 0044-8753

Abstract

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We propose a definition of a quantised 𝔰𝔩 2 -differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of  𝔰𝔩 2 are natural examples of such algebras.

How to cite

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Krutov, Andrey, and Pandžić, Pavle. "Quantised $\mathfrak {sl}_2$-differential algebras." Archivum Mathematicum 060.5 (2024): 351-364. <http://eudml.org/doc/299612>.

@article{Krutov2024,
abstract = {We propose a definition of a quantised $\{\mathfrak \{sl\}\}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of $\{\mathfrak \{sl\}\}_2$ are natural examples of such algebras.},
author = {Krutov, Andrey, Pandžić, Pavle},
journal = {Archivum Mathematicum},
keywords = {quantum group; Clifford algebra; quantised exterior algebra; $\mathfrak \{g\}$-differential algebra},
language = {eng},
number = {5},
pages = {351-364},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Quantised $\mathfrak \{sl\}_2$-differential algebras},
url = {http://eudml.org/doc/299612},
volume = {060},
year = {2024},
}

TY - JOUR
AU - Krutov, Andrey
AU - Pandžić, Pavle
TI - Quantised $\mathfrak {sl}_2$-differential algebras
JO - Archivum Mathematicum
PY - 2024
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 060
IS - 5
SP - 351
EP - 364
AB - We propose a definition of a quantised ${\mathfrak {sl}}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of ${\mathfrak {sl}}_2$ are natural examples of such algebras.
LA - eng
KW - quantum group; Clifford algebra; quantised exterior algebra; $\mathfrak {g}$-differential algebra
UR - http://eudml.org/doc/299612
ER -

References

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