Affine PBW bases and MV polytopes in rank 2

Author:

Muthiah Dinakar,Tingley Peter

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics

Reference28 articles.

1. Akasaka, T.: An integral PBW basis of the quantum affine algebra of type $$A^{(2)}_2$$ . Publ. Res. Inst. Math. Sci., 38, (2002). arXiv:math/0105170v1

2. Anderson, J.: A polytope calculus for semisimple groups. Duke Math. J. 116, 567–588 (2003). arXiv:math/0110225

3. Baumann, P., Gaussent, S.: On Mirković-Vilonen cycles and crystal combinatorics. Represent. Theory, 12, 83–130 (2008). arXiv:math/0606711

4. Baumann, P., Dunlap, T., Kamnitzer, J.: Tingley Peter Rank 2 affine MV polytopes. arXiv:1202.6416

5. Baumann, P., Kamnitzer, J.: Preprojective algebras and mv polytopes, to appear in Represent. Theory. arXiv:1009.2469

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1. Alcove path model for B(∞);Journal of Pure and Applied Algebra;2019-11

2. Affine PBW bases and affine MV polytopes;Selecta Mathematica;2018-09-14

3. Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras;Compositio Mathematica;2016-06-22

4. Rank 2 affine MV polytopes;Representation Theory of the American Mathematical Society;2013-08-05

5. Affine Mirković-Vilonen polytopes;Publications mathématiques de l'IHÉS;2013-08-03

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