Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír Branching laws for Verma modules and applications in parabolic geometry. I. (English) Zbl 1327.53044 Adv. Math. 285, 1796-1852 (2015). MSC: 53C21 53A30 22E47 33C45 58J70 PDFBibTeX XMLCite \textit{T. Kobayashi} et al., Adv. Math. 285, 1796--1852 (2015; Zbl 1327.53044) Full Text: DOI arXiv
Coulembier, Kevin; Somberg, Petr; Souček, Vladimír Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). (English) Zbl 1370.17016 Int. Math. Res. Not. 2014, No. 15, 4291-4340 (2014). MSC: 17B35 PDFBibTeX XMLCite \textit{K. Coulembier} et al., Int. Math. Res. Not. 2014, No. 15, 4291--4340 (2014; Zbl 1370.17016) Full Text: DOI arXiv
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. (English) Zbl 1279.30051 J. Geom. Phys. 75, 120-128 (2014). MSC: 30G35 37J05 17B10 PDFBibTeX XMLCite \textit{H. De Bie} et al., J. Geom. Phys. 75, 120--128 (2014; Zbl 1279.30051) Full Text: DOI arXiv
De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir The Clifford deformation of the Hermite semigroup. (English) Zbl 1273.43007 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 010, 22 p. (2013). MSC: 43A32 30G35 42B37 PDFBibTeX XMLCite \textit{H. De Bie} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 010, 22 p. (2013; Zbl 1273.43007) Full Text: DOI arXiv
De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). (English) Zbl 1276.33021 Trans. Am. Math. Soc. 364, No. 7, 3875-3902 (2012). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C52 30G35 43A32 PDFBibTeX XMLCite \textit{H. De Bie} et al., Trans. Am. Math. Soc. 364, No. 7, 3875--3902 (2012; Zbl 1276.33021) Full Text: DOI arXiv
Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef On a new normalization for tractor covariant derivatives. (English) Zbl 1264.58029 J. Eur. Math. Soc. (JEMS) 14, No. 6, 1859-1883 (2012). Reviewer: José Navarro Garmendia (Badajoz) MSC: 58J70 53A30 53A20 58A32 53A55 PDFBibTeX XMLCite \textit{M. Hammerl} et al., J. Eur. Math. Soc. (JEMS) 14, No. 6, 1859--1883 (2012; Zbl 1264.58029) Full Text: DOI arXiv
Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. (English) Zbl 1270.53024 Ann. Global Anal. Geom. 42, No. 1, 121-145 (2012). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53A55 58A32 53A20 53A30 PDFBibTeX XMLCite \textit{M. Hammerl} et al., Ann. Global Anal. Geom. 42, No. 1, 121--145 (2012; Zbl 1270.53024) Full Text: DOI arXiv
Ørsted, Bent; Somberg, Petr; Souček, Vladimír The Howe duality for the Dunkl version of the Dirac operator. (English) Zbl 1404.17018 Adv. Appl. Clifford Algebr. 19, No. 2, 403-415 (2009). MSC: 17B22 15A66 20F55 PDFBibTeX XMLCite \textit{B. Ørsted} et al., Adv. Appl. Clifford Algebr. 19, No. 2, 403--415 (2009; Zbl 1404.17018) Full Text: DOI
Gover, A. Rod; Somberg, Petr; Souček, Vladimír Yang-Mills detour complexes and conformal geometry. (English) Zbl 1141.58013 Commun. Math. Phys. 278, No. 2, 307-327 (2008). MSC: 58J10 53C07 PDFBibTeX XMLCite \textit{A. R. Gover} et al., Commun. Math. Phys. 278, No. 2, 307--327 (2008; Zbl 1141.58013) Full Text: DOI arXiv
Eastwood, Michael; Somberg, Petr; Souček, Vladimír Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. (English) Zbl 1161.17006 J. Geom. Phys. 57, No. 12, 2539-2546 (2007). MSC: 17B35 17A45 17B81 58J70 PDFBibTeX XMLCite \textit{M. Eastwood} et al., J. Geom. Phys. 57, No. 12, 2539--2546 (2007; Zbl 1161.17006) Full Text: DOI
Eastwood, Michael; Somberg, Petr; Soucek, Vladimir The Uniqueness of the Joseph Ideal for the Classical Groups. arXiv:math/0512296 Preprint, arXiv:math/0512296 [math.RT] (2005). MSC: 17B35 16S32 BibTeX Cite \textit{M. Eastwood} et al., ``The Uniqueness of the Joseph Ideal for the Classical Groups'', Preprint, arXiv:math/0512296 [math.RT] (2005) Full Text: arXiv