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Found 42,397 Documents (Results 1–100)

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Nakashima, Toshiki

Geometric crystal on unipotent variety. (English) Zbl 07936179

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 465-481 (2024).
MSC:  17B37 17B67 81R50 22E46 14M15
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Lu, Ming; Wang, Weiqiang

\(\imath\) Hall algebras and \(\imath\) quantum groups. (English) Zbl 07936176

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 371-433 (2024).
MSC:  17B37 16E45 18G80
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Lin, Zongzhu; Nakano, Daniel K.

Realizing rings of regular functions via the cohomology of quantum groups. (English) Zbl 07936175

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 337-369 (2024).
MSC:  20G42 20G10 17B56
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Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique; Zadunaisky, Pablo

On two constructions of Gelfand-Tsetlin modules with arbitrary characters. (English) Zbl 07936173

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 293-299 (2024).
MSC:  16G99 17B10
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Drupieski, Christopher M.; Kujawa, Jonathan R.

Support varieties for Lie superalgebras in characteristic 2. (English) Zbl 07936170

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 99-125 (2024).
MSC:  17B56 20G10 17B50
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Bendel, Christopher P.

Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type. (English) Zbl 07936167

Achar, Pramod N. (ed.) et al., Categorical, combinatorial and geometric representation theory and related topics. 2015–2021 Southeastern Lie theory workshop series. Algebraic and combinatorial representation theory, October 9–11, 2015, North Carolina State University, Raleigh, North Carolina. Algebraic groups, quantum groups and geometry, May 23–27, 2016, University of Virginia, Charlottesville, Virginia. Representation theory of algebraic groups and Lie superalgebras, June 10–12, 2018, University of Georgia, Athens, Georgia. Geometric and categorical representation theory, May 13–15, 2019, Louisiana State University, Baton Rouge, Louisiana. Lie algebras, Lie groups and applications, October 15–17, 2021, College of Charleston, Charleston, South Carolina. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 108, 35-58 (2024).
MSC:  17B56 20G10 20J06
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