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fusion

Overview page. Subjects: Medicine and Health.

n. the joining together of two structures. For example, the surgical fusion of two or more vertebrae is performed to stabilize an unstable spine. Fusion of the epiphyses during...

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Representations of Lie superalgebras with Fusion Flags

Deniz Kus.

in International Mathematics Research Notices

September 2018; p ublished online March 2017 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 13032 words.

Abstract

We study the category of finite-dimensional representations for a basic classical Lie superalgebra [math]. For the ortho-symplectic Lie superalgebra...

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Tensor Products of Kirillov–Reshetikhin Modules and Fusion Products

Katsuyuki Naoi.

in International Mathematics Research Notices

September 2017; p ublished online August 2016 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 9464 words.

Abstract

We study the classical limit of a tensor product of Kirillov–Reshetikhin modules over a quantum loop algebra, and show that it is realized from the...

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Fusion in compact lie groups

DJ Benson.

in The Quarterly Journal of Mathematics

September 1996 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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FUSION IN COMPACT LIE GROUPS

D. J. BENSON.

in The Quarterly Journal of Mathematics

September 1996 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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Consistent Orientation of Moduli Spaces

Daniel S. Freed, Michael J. Hopkins and Constantin Teleman.

in The Many Facets of Geometry

July 2010; p ublished online September 2010 .

Chapter. Subjects: Geometry. 11892 words.

In a series of papers by Freed, Hopkins, and Teleman (2003, 2005, 2007a) the relationship between positive energy representations of the loop group of a compact Lie group G and the twisted...

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Conformal Nets I: Coordinate-Free Nets

Arthur Bartels, Christopher L. Douglas and André Henriques.

in International Mathematics Research Notices

January 2015; p ublished online June 2014 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 24602 words.

We describe a coordinate-free perspective on conformal nets, as functors from intervals to von Neumann algebras. We discuss an operation of fusion of intervals and observe that a conformal...

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Classification of Non-Kac Compact Quantum Groups of SU(n) Type

Sergey Neshveyev and Makoto Yamashita.

in International Mathematics Research Notices

January 2016; p ublished online August 2015 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 16127 words.

We classify up to isomorphism all non-Kac compact quantum groups with the same fusion rules and dimension function as [math]. For this we first prove, using categorical Poisson boundary,...

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Crystal Approach to Affine Schubert Calculus

Jennifer Morse and Anne Schilling.

in International Mathematics Research Notices

January 2016; p ublished online July 2015 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 21952 words.

We apply crystal theory to affine Schubert calculus, Gromov–Witten invariants for the complete flag manifold, and the positroid stratification of the positive Grassmannian. We introduce...

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