Calvert, Kieran; De Martino, Marcelo Dirac operators for the Dunkl angular momentum algebra. (English) Zbl 07537222 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 040, 18 p. (2022). MSC: 16S37 16G99 17B81 20F55 81R10 PDF BibTeX XML Cite \textit{K. Calvert} and \textit{M. De Martino}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 040, 18 p. (2022; Zbl 07537222) Full Text: DOI OpenURL
Huang, Jing Song Dirac cohomology and character lifting. (English) Zbl 07347400 Acta Math. Sin., Engl. Ser. 37, No. 4, 525-537 (2021). MSC: 22E47 22E46 PDF BibTeX XML Cite \textit{J. S. Huang}, Acta Math. Sin., Engl. Ser. 37, No. 4, 525--537 (2021; Zbl 07347400) Full Text: DOI arXiv OpenURL
Barbasch, Dan; Pandžić, Pavle Twisted Dirac index and applications to characters. (English) Zbl 1442.53037 Adamović, Dražen (ed.) et al., Affine, vertex and \(W\)-algebras. Based on the INdAM workshop, Rome, Italy, December 11–15, 2017. Cham: Springer. Springer INdAM Ser. 37, 23-36 (2019). MSC: 53C27 17B15 57R15 PDF BibTeX XML Cite \textit{D. Barbasch} and \textit{P. Pandžić}, Springer INdAM Ser. 37, 23--36 (2019; Zbl 1442.53037) Full Text: DOI OpenURL
Prudhon, Nicolas Translation of Dolbeault representations. (English) Zbl 1442.22015 J. Lie Theory 29, No. 4, 1103-1118 (2019). MSC: 22E46 17B10 PDF BibTeX XML Cite \textit{N. Prudhon}, J. Lie Theory 29, No. 4, 1103--1118 (2019; Zbl 1442.22015) Full Text: Link OpenURL
Flake, Johannes Barbasch-Sahi algebras and Dirac cohomology. (English) Zbl 1469.16066 Trans. Am. Math. Soc. 371, No. 10, 6883-6902 (2019). Reviewer: Yorck Sommerhäuser (St. John’s) MSC: 16T05 20C08 PDF BibTeX XML Cite \textit{J. Flake}, Trans. Am. Math. Soc. 371, No. 10, 6883--6902 (2019; Zbl 1469.16066) Full Text: DOI arXiv OpenURL
Pandžić, Pavle; Somberg, Petr Dirac operator and its cohomology for the quantum group \(U_q(\mathfrak{sl}_2)\). (English) Zbl 1360.81216 J. Math. Phys. 58, No. 4, 041702, 13 p. (2017). MSC: 81R50 17B37 46M20 81Q10 15A66 PDF BibTeX XML Cite \textit{P. Pandžić} and \textit{P. Somberg}, J. Math. Phys. 58, No. 4, 041702, 13 p. (2017; Zbl 1360.81216) Full Text: DOI arXiv OpenURL
Chuah, Meng-Kiat; Huang, Jing-Song Dirac cohomology and geometric quantization. (English) Zbl 1350.22011 J. Reine Angew. Math. 720, 33-50 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 22E46 53D50 PDF BibTeX XML Cite \textit{M.-K. Chuah} and \textit{J.-S. Huang}, J. Reine Angew. Math. 720, 33--50 (2016; Zbl 1350.22011) Full Text: DOI OpenURL
Širola, Boris Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras. (English) Zbl 1333.17011 J. Algebra 423, 636-682 (2015). MSC: 17B20 17B08 14L35 PDF BibTeX XML Cite \textit{B. Širola}, J. Algebra 423, 636--682 (2015; Zbl 1333.17011) Full Text: DOI OpenURL
Mehdi, S.; Zierau, R. The Dirac cohomology of a finite dimensional representation. (English) Zbl 1376.22014 Proc. Am. Math. Soc. 142, No. 5, 1507-1512 (2014). MSC: 22E46 17B56 22E47 PDF BibTeX XML Cite \textit{S. Mehdi} and \textit{R. Zierau}, Proc. Am. Math. Soc. 142, No. 5, 1507--1512 (2014; Zbl 1376.22014) Full Text: DOI OpenURL
Huang, Jing-Song; Xiao, Wei Dirac cohomology of highest weight modules. (English) Zbl 1257.22012 Sel. Math., New Ser. 18, No. 4, 803-824 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 22E47 PDF BibTeX XML Cite \textit{J.-S. Huang} and \textit{W. Xiao}, Sel. Math., New Ser. 18, No. 4, 803--824 (2012; Zbl 1257.22012) Full Text: DOI OpenURL
Alekseev, Anton; Moreau, Anne On the Kostant conjecture for Clifford algebras. (English. Abridged French version) Zbl 1264.17006 C. R., Math., Acad. Sci. Paris 350, No. 1-2, 13-18 (2012). MSC: 17B20 17B35 PDF BibTeX XML Cite \textit{A. Alekseev} and \textit{A. Moreau}, C. R., Math., Acad. Sci. Paris 350, No. 1--2, 13--18 (2012; Zbl 1264.17006) Full Text: DOI arXiv Link OpenURL
Huang, JingSong Dirac cohomology and Dirac induction. (English) Zbl 1257.22013 Sci. China, Math. 54, No. 11, 2373-2381 (2011). Reviewer: Pavle Pandžić (Zagreb) MSC: 22E46 PDF BibTeX XML Cite \textit{J. Huang}, Sci. China, Math. 54, No. 11, 2373--2381 (2011; Zbl 1257.22013) Full Text: DOI OpenURL
Dong, Chao-Ping; Huang, Jing-Song Jacquet modules and Dirac cohomology. (English) Zbl 1221.22014 Adv. Math. 226, No. 4, 2911-2934 (2011). Reviewer: Salah Mehdi (Metz) MSC: 22E46 PDF BibTeX XML Cite \textit{C.-P. Dong} and \textit{J.-S. Huang}, Adv. Math. 226, No. 4, 2911--2934 (2011; Zbl 1221.22014) Full Text: DOI OpenURL
Huang, Jing-Song; Kang, Yi-Fang; Pandžić, Pavle Dirac cohomology of some Harish-Chandra modules. (English) Zbl 1179.22013 Transform. Groups 14, No. 1, 163-173 (2009). Reviewer: Vesselin Drensky (Sofia) MSC: 22E46 18G60 PDF BibTeX XML Cite \textit{J.-S. Huang} et al., Transform. Groups 14, No. 1, 163--173 (2009; Zbl 1179.22013) Full Text: DOI OpenURL
Širola, Boris Pairs of semisimple Lie algebras and their maximal reductive subalgebras. (English) Zbl 1163.17008 Algebr. Represent. Theory 11, No. 3, 233-250 (2008). Reviewer: Karin Baur (Zürich) MSC: 17B05 17B20 17B10 PDF BibTeX XML Cite \textit{B. Širola}, Algebr. Represent. Theory 11, No. 3, 233--250 (2008; Zbl 1163.17008) Full Text: DOI OpenURL
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Multiplets of representations, twisted Dirac operators and Vogan’s conjecture in affine setting. (English) Zbl 1177.17016 Adv. Math. 217, No. 6, 2485-2562 (2008); corrigendum ibid. 351, 1201-1209 (2019). Reviewer: Pavle Pandžić (Zagreb) MSC: 17B67 17B10 17B69 58J60 PDF BibTeX XML Cite \textit{V. G. Kac} et al., Adv. Math. 217, No. 6, 2485--2562 (2008; Zbl 1177.17016) Full Text: DOI arXiv OpenURL
Huang, Jing-Song; Pandžić, Pavle; Renard, David Dirac operators and Lie algebra cohomology. (English) Zbl 1134.22011 Represent. Theory 10, 299-313 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDF BibTeX XML Cite \textit{J.-S. Huang} et al., Represent. Theory 10, 299--313 (2006; Zbl 1134.22011) Full Text: DOI arXiv OpenURL
Kumar, Shrawan Induction functor in noncommutative equivariant cohomology and Dirac cohomology. (English) Zbl 1090.22007 J. Algebra 291, No. 1, 187-207 (2005). Reviewer: Pavle Pandžić (Zagreb) MSC: 22E41 17B56 PDF BibTeX XML Cite \textit{S. Kumar}, J. Algebra 291, No. 1, 187--207 (2005; Zbl 1090.22007) Full Text: DOI arXiv OpenURL
Alekseev, Anton; Meinrenken, Eckhard Lie theory and the Chern-Weil homomorphism. (English) Zbl 1105.17015 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 2, 303-338 (2005). Reviewer: Guy Roos (St. Peterburg) MSC: 17B99 53C05 57R20 PDF BibTeX XML Cite \textit{A. Alekseev} and \textit{E. Meinrenken}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 2, 303--338 (2005; Zbl 1105.17015) Full Text: DOI arXiv Numdam EuDML OpenURL
Huang, Jing-Song; Pandžić, Pavle Dirac cohomology, unitary representations and a proof of a conjecture of Vogan. (English) Zbl 0980.22013 J. Am. Math. Soc. 15, No. 1, 185-202 (2002). Reviewer: Sergio Console (Torino) MSC: 22E46 22E47 PDF BibTeX XML Cite \textit{J.-S. Huang} and \textit{P. Pandžić}, J. Am. Math. Soc. 15, No. 1, 185--202 (2002; Zbl 0980.22013) Full Text: DOI OpenURL