Cluster Algebra Structures on Poisson Nilpotent Algebras PDF Download

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Cluster Algebra Structures on Poisson Nilpotent Algebras

Cluster Algebra Structures on Poisson Nilpotent Algebras PDF Author: K. R Goodearl
Publisher: American Mathematical Society
ISBN: 1470467356
Category : Mathematics
Languages : en
Pages : 112

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Cluster Algebra Structures on Poisson Nilpotent Algebras

Cluster Algebra Structures on Poisson Nilpotent Algebras PDF Author: K. R Goodearl
Publisher: American Mathematical Society
ISBN: 1470467356
Category : Mathematics
Languages : en
Pages : 112

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Book Description
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Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras

Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras PDF Author: K. R. Goodearl
Publisher: American Mathematical Soc.
ISBN: 1470436949
Category : Mathematics
Languages : en
Pages : 134

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Book Description
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (quantum) cluster algebra structures on (quantized) coordinate rings arising in Lie theory were done on a case by case basis relying on the combinatorics of each concrete family. The results of the paper have a broad range of applications to these problems, including the construction of quantum cluster algebra structures on quantum unipotent groups and quantum double Bruhat cells (the Berenstein-Zelevinsky conjecture), and treat these problems from a unified perspective. All such applications also establish equality between the constructed quantum cluster algebras and their upper counterparts

A Plethora of Cluster Structures on $GL_n$

A Plethora of Cluster Structures on $GL_n$ PDF Author: M. Gekhtman
Publisher: American Mathematical Society
ISBN: 1470469707
Category : Mathematics
Languages : en
Pages : 116

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Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion

Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion PDF Author: Gaëtan Borot
Publisher: American Mathematical Society
ISBN: 1470469065
Category : Mathematics
Languages : en
Pages : 120

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Mixed Hodge Structures on Alexander Modules

Mixed Hodge Structures on Alexander Modules PDF Author: Eva Elduque
Publisher: American Mathematical Society
ISBN: 1470469677
Category : Mathematics
Languages : en
Pages : 128

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$p$-DG Cyclotomic nilHecke Algebras

$p$-DG Cyclotomic nilHecke Algebras PDF Author: Mikhail Khovanov
Publisher: American Mathematical Society
ISBN: 1470468719
Category : Mathematics
Languages : en
Pages : 106

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$p$-DG Cyclotomic nilHecke Algebras II

$p$-DG Cyclotomic nilHecke Algebras II PDF Author: You Qi
Publisher: American Mathematical Society
ISBN: 1470468727
Category : Mathematics
Languages : en
Pages : 118

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Classification of $mathcal {O}_infty $-Stable $C^*$-Algebras

Classification of $mathcal {O}_infty $-Stable $C^*$-Algebras PDF Author: James Gabe
Publisher: American Mathematical Society
ISBN: 1470467933
Category : Mathematics
Languages : en
Pages : 128

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SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics

SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics PDF Author: Yang Li
Publisher: American Mathematical Society
ISBN: 1470467828
Category : Mathematics
Languages : en
Pages : 138

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Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$

Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$ PDF Author: Chris Parker
Publisher: American Mathematical Society
ISBN: 1470467291
Category : Mathematics
Languages : en
Pages : 194

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