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Dobrev, Vladimir K.
Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. (English) Zbl 1418.17002
De Gruyter Studies in Mathematical Physics 53. Berlin: De Gruyter (ISBN 978-3-11-060968-4/hbk; 978-3-11-061140-3/ebook). ix, 231 p. (2019).
Reviewer: Volodymyr Mazorchuk (Uppsala)
MSC:  17-02 17B60 17B68 17B37 81R40
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\textit{V. K. Dobrev}, Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. Berlin: De Gruyter (2019; Zbl 1418.17002)
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Kashiwara, Masaki
Crystal bases and categorifications – Chern medal lecture. (English) Zbl 1441.17014
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249-258 (2018).
MSC:  17B37 13F60 81R50 17-02 13-02 81-02
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\textit{M. Kashiwara}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249--258 (2018; Zbl 1441.17014)
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Varchenko, Alexander; Woodruff, Tyler
Critical points of master functions and mKdV hierarchy of type \(A^{(2)}_{2n}\). (English) Zbl 1439.17028
Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 713, 205-233 (2018).
MSC:  17B80 17B67 37K10 81R12
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\textit{A. Varchenko} and \textit{T. Woodruff}, Contemp. Math. 713, 205--233 (2018; Zbl 1439.17028)
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Hong, Jiuzu
Fusion rings revisited. (English) Zbl 07113843
Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3696-4/hbk; 978-1-4704-4882-0/ebook). Contemporary Mathematics 713, 135-147 (2018).
MSC:  17B67 81T40 20G44
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\textit{J. Hong}, Contemp. Math. 713, 135--147 (2018; Zbl 07113843)
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Mazzocco, Marta
Embedding of the rank 1 DAHA into \(Mat(2,\mathbb{T}_q)\) and its automorphisms. (English) Zbl 1409.33015
Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 449-468 (2018).
MSC:  33D80 33D52 16T99
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\textit{M. Mazzocco}, Adv. Stud. Pure Math. 76, 449--468 (2018; Zbl 1409.33015)
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Molev, Alexander
Sugawara operators for classical Lie algebras. (English) Zbl 1395.17001
Mathematical Surveys and Monographs 229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3659-9/hbk; 978-1-4704-4391-7/ebook). xiv, 304 p. (2018).
Reviewer: Volodymyr Mazorchuk (Uppsala)
MSC:  17-02 17B35 16S30 17B63 17B67 17B69
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\textit{A. Molev}, Sugawara operators for classical Lie algebras. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1395.17001)
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Schlichenmaier, Martin
\(N\)-point Virasoro algebras considered as Krichever-Novikov type algebras. (English) Zbl 1427.17035
Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer. Trends Math., 295-308 (2016).
MSC:  17B65 17B68 17B56 17B66 30F30 81R10 81T40
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\textit{M. Schlichenmaier}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 295--308 (2016; Zbl 1427.17035)
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Zeitlin, Anton M.
On the unitary representations of the affine \(ax+b\)-group, \(\widehat{sl(2,\mathbb{R})}\) and their relatives. (English) Zbl 1409.22017
Misra, Kailash C. (ed.) et al., Lie algebras, Lie superalgebras, vertex algebras and related topics. 2012–2014 Southeastern Lie theory workshop series: Categorification of quantum groups and representation theory, North Carolina State University, Raleigh, NC, USA, April 21–22, 2012. Lie algebras, vertex algebras, integrable systems and applications, College of Charleston, Charleston, SC, USA, December 16–18, 2012. Noncommutative algebraic geometry and representation theory, Louisiana State University, Baton Rouge, LA, USA, May 10–12, 2013. Representation theory of Lie algebras and superalgebras, University of Georgia, Athens, GA, USA, May 16–17, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 92, 325-355 (2016).
Reviewer: Le Anh Vu (Ho Chi Minh City)
MSC:  22E67 20G05 20G42 22D10 22D30 22E70 17B10 17B15 81R10
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\textit{A. M. Zeitlin}, Proc. Symp. Pure Math. 92, 325--355 (2016; Zbl 1409.22017)
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Costello, Kevin; Gwilliam, Owen
Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004
New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-316-67862-6/ebook). ix, 387 p. (2016).
Reviewer: Albert Sheu (Lawrence)
MSC:  81-02 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 16E45 47A68 18G35 18F20 17-02
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\textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004)
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