Representations of quantum toroidal gln

By Boris Feigin, Michio Jimbo, Tetsuji Miwa, E. Mukhin. 2012

81 citations recorded by the source corpus.

Abstract We define and study representations of quantum toroidal gl n with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gl n with generic level.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/86d15252bf5d5d3fd96cd1666ef6fe43ca70cf6f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. S. Shatashvili
2. Vasily Pestun
3. N. Nekrasov

In Geometry and Topology

1. N. Nekrasov
2. Vasily Pestun
3. S. Shatashvili
4. C. Vafa
5. Hee-Cheol Kim
6. Yuji Tachikawa
7. D. Gaiotto
8. A. Klemm

In Statistical and Nonlinear Physics

1. S. Shatashvili
2. N. Nekrasov
3. Vasily Pestun
4. Hee-Cheol Kim
5. C. Vafa
6. Yuji Tachikawa
7. D. Gaiotto
8. Amer Iqbal

Citations in the corpus

• Quantum Geometry and Quiver Gauge Theories (2013, methodology): “The characters of quantum gl1 toroidal algebra are computed as a sum over plane partitions [189, 190]; and representation theory of quantum glr toroidal algebra is discussed in [191, 192].”