Brundan, Jonathan; Stroppel, Catharina Semi-infinite highest weight categories. (English) Zbl 07807561 Memoirs of the American Mathematical Society 1459. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6783-8/pbk; 978-1-4704-7716-5/ebook). v, 152 p. (2024). MSC: 16-02 16G10 17B10 08C20 20G05 20G42 17B67 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{C. Stroppel}, Semi-infinite highest weight categories. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07807561) Full Text: DOI arXiv
Brundan, Jonathan; Entova-Aizenbud, Inna; Etingof, Pavel; Ostrik, Victor Semisimplification of the category of tilting modules for \(\mathrm{GL}_n\). (English) Zbl 1494.18011 Adv. Math. 375, Article ID 107331, 37 p. (2020). Reviewer: Mee Seong Im (Annapolis) MSC: 18M05 20G05 17B10 20J15 20C30 17B37 PDFBibTeX XMLCite \textit{J. Brundan} et al., Adv. Math. 375, Article ID 107331, 37 p. (2020; Zbl 1494.18011) Full Text: DOI arXiv
Brundan, Jonathan; Davidson, Nicholas Categorical actions and crystals. (English) Zbl 1418.17053 Beliakova, Anna (ed.) et al., Categorification and higher representation theory. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 683, 105-147 (2017). MSC: 17B67 17B10 18M05 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{N. Davidson}, Contemp. Math. 683, 105--147 (2017; Zbl 1418.17053) Full Text: DOI arXiv
Brundan, Jonathan; Kleshchev, Alexander; McNamara, Peter J. Homological properties of finite-type Khovanov-Lauda-Rouquier algebras. (English) Zbl 1314.16005 Duke Math. J. 163, No. 7, 1353-1404 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16E05 17B37 20C08 05E10 PDFBibTeX XMLCite \textit{J. Brundan} et al., Duke Math. J. 163, No. 7, 1353--1404 (2014; Zbl 1314.16005) Full Text: DOI arXiv Euclid
Brundan, Jonathan Book review of: Bangming Deng, Jie Du, Brian Parshall and Jianpan Wang, Finite dimensional algebras and quantum groups. (English) Zbl 1292.00016 Bull. Am. Math. Soc., New Ser. 48, No. 1, 107-114 (2011). MSC: 00A17 17-02 16-02 17B37 16T05 17B20 16G20 20C30 20C08 PDFBibTeX XMLCite \textit{J. Brundan}, Bull. Am. Math. Soc., New Ser. 48, No. 1, 107--114 (2011; Zbl 1292.00016) Full Text: DOI
Brundan, Jonathan; Stroppel, Catharina Highest weight categories arising from Khovanov’s diagram algebra. III: Category \(\mathcal O\). (English) Zbl 1261.17006 Represent. Theory 15, 170-243 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 16S37 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{C. Stroppel}, Represent. Theory 15, 170--243 (2011; Zbl 1261.17006) Full Text: DOI arXiv
Brundan, Jonathan Mœglin’s theorem and Goldie rank polynomials in Cartan type \(A\). (English) Zbl 1246.17014 Compos. Math. 147, No. 6, 1741-1771 (2011). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B35 17B08 PDFBibTeX XMLCite \textit{J. Brundan}, Compos. Math. 147, No. 6, 1741--1771 (2011; Zbl 1246.17014) Full Text: DOI arXiv
Brundan, Jonathan; Kleshchev, Alexander The degenerate analogue of Ariki’s categorification theorem. (English) Zbl 1287.17022 Math. Z. 266, No. 4, 877-919 (2010). MSC: 17B20 20C08 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{A. Kleshchev}, Math. Z. 266, No. 4, 877--919 (2010; Zbl 1287.17022) Full Text: DOI arXiv
Brundan, Jonathan; Stroppel, Catharina Highest weight categories arising from Khovanov’s diagram algebra. II: Koszulity. (English) Zbl 1205.17010 Transform. Groups 15, No. 1, 1-45 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 16S37 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{C. Stroppel}, Transform. Groups 15, No. 1, 1--45 (2010; Zbl 1205.17010) Full Text: DOI arXiv
Brundan, Jonathan; Kleshchev, Alexander Graded decomposition numbers for cyclotomic Hecke algebras. (English) Zbl 1241.20003 Adv. Math. 222, No. 6, 1883-1942 (2009). MSC: 20C08 17B37 20C30 20C20 20F55 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{A. Kleshchev}, Adv. Math. 222, No. 6, 1883--1942 (2009; Zbl 1241.20003) Full Text: DOI arXiv
Brundan, Jonathan Dual canonical bases and Kazhdan-Lusztig polynomials. (English) Zbl 1169.17008 J. Algebra 306, No. 1, 17-46 (2006). MSC: 17B37 PDFBibTeX XMLCite \textit{J. Brundan}, J. Algebra 306, No. 1, 17--46 (2006; Zbl 1169.17008) Full Text: DOI arXiv
Brundan, Jonathan Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\). (English) Zbl 1048.17003 Adv. Math. 182, No. 1, 28-77 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{J. Brundan}, Adv. Math. 182, No. 1, 28--77 (2004; Zbl 1048.17003) Full Text: DOI arXiv
Brundan, Jonathan Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak{gl}(m| n)\). (English) Zbl 1050.17004 J. Am. Math. Soc. 16, No. 1, 185-231 (2003). Reviewer: Stefano Capparelli (Roma) MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{J. Brundan}, J. Am. Math. Soc. 16, No. 1, 185--231 (2003; Zbl 1050.17004) Full Text: DOI arXiv