Contents of Volume 113
50th Seminar “Sophus Lie”
dedicated to Professor Karl Heinrich Hofmann
on the occasion of his 85th birthday
Editors: Alice Fialowski, Katarzyna Grabowska, Janusz Grabowski and Karl-Hermann Neeb
ISBN 978-83-86806-37-9
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The origins of seminar Sophus Lie—a keynote address to the 50th session of Seminar Sophus Lie Banach Center Publications 113 (2017), 11-18 MSC: Primary 01; Secondary 22. DOI: 10.4064/bc113-0-1
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Non-abelian gradings of Lie algebras Banach Center Publications 113 (2017), 19-38 MSC: Primary 17B25; Secondary: 17B70, 17C40. DOI: 10.4064/bc113-0-2
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Topological aspects of group $C^*$-algebras Banach Center Publications 113 (2017), 39-57 MSC: Primary 22D25; Secondary 22E27. DOI: 10.4064/bc113-0-3
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Lie Calculus Banach Center Publications 113 (2017), 59-85 MSC: 18F15, 20L05, 22E65, 39A12, 58C20, 97I40. DOI: 10.4064/bc113-0-4
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Inhomogeneous Kleinian singularities and quivers Banach Center Publications 113 (2017), 87-94 MSC: Primary 20G05; Secondary 17B22; Tertiary 14B07. DOI: 10.4064/bc113-0-5
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Recent advances on Lie systems and their applications Banach Center Publications 113 (2017), 95-110 MSC: 34A26; 81Q70. DOI: 10.4064/bc113-0-6
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Projections of orbital measures for the action of a pseudo-unitary group Banach Center Publications 113 (2017), 111-121 MSC: 15A18; 22E15. DOI: 10.4064/bc113-0-7
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Multiplicative loops of topological quasifields Banach Center Publications 113 (2017), 123-134 MSC: 20N05; Secondary 22A30, 12K10, 51A40, 57M60. DOI: 10.4064/bc113-0-8
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The Berezin form on symmetric $R$-spaces and reflection positivity Banach Center Publications 113 (2017), 135-168 MSC: Primary 22E46; Secondary 43A85, 57S25. DOI: 10.4064/bc113-0-9
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$\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach Banach Center Publications 113 (2017), 169-191 MSC: 53C42, 53C43, 70S10, 81R30. DOI: 10.4064/bc113-0-10
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Elliptic operators in the bundle of symmetric tensors Banach Center Publications 113 (2017), 193-218 MSC: Primary: 58J32, 53C15, 53C21; Secondary: 58G05, 53C21, 58C40. DOI: 10.4064/bc113-0-11
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The deformation quantisation mappingof Poisson to associative structuresin field theory Banach Center Publications 113 (2017), 219-242 MSC: Primary 53D55, 58E30, 81S10;Secondary 53D17, 58Z05, 70S20. DOI: 10.4064/bc113-0-12
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Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on $\mathbb{R}^2$ Banach Center Publications 113 (2017), 243-262 MSC: Primary 17B66; Secondary 34A26, 53B30, 53B50. DOI: 10.4064/bc113-0-13
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The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups Banach Center Publications 113 (2017), 263-274 MSC: 17B75; 22E45. DOI: 10.4064/bc113-0-14
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An introduction to completely exceptional second order scalar partial differential equations Banach Center Publications 113 (2017), 275-289 MSC: 35A30, 35L15, 35L67, 53D10, 58A30, 14M15. DOI: 10.4064/bc113-0-15
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Antiunitary representations and modular theory Banach Center Publications 113 (2017), 291-362 MSC: Primary 22E45; Secondary 81R05, 81T05. DOI: 10.4064/bc113-0-16
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Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds Banach Center Publications 113 (2017), 363-373 MSC: Primary 22E65; Secondary 22A10, 26E15, 46E50. DOI: 10.4064/bc113-0-17
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Higher algebra over the Leibniz operad Banach Center Publications 113 (2017), 375-393 MSC: 53D17, 58A50, 17A32, 17B66, 17B01, 18G55, 18D50. DOI: 10.4064/bc113-0-18
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Spherical functions on spheres of rank two Banach Center Publications 113 (2017), 395-408 MSC: Primary 43A90; Secondary 42C05. DOI: 10.4064/bc113-0-19