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@article{883429, author = {Šilhan, Josef and Čap, Andreas}, article_location = {San Diego}, article_number = {4}, keywords = {equivariant quantization; natural quantization; parabolic geometry; AHS--structure; tractor calculus}, language = {eng}, issn = {0001-8708}, journal = {Advances in Mathematics}, title = {Equivariant quantizations for AHS-structures}, volume = {224}, year = {2010} }
TY - JOUR ID - 883429 AU - Šilhan, Josef - Čap, Andreas PY - 2010 TI - Equivariant quantizations for AHS-structures JF - Advances in Mathematics VL - 224 IS - 4 SP - 1717-1734 EP - 1717-1734 PB - Elsevier Science SN - 00018708 KW - equivariant quantization KW - natural quantization KW - parabolic geometry KW - AHS--structure KW - tractor calculus N2 - We construct an explicit scheme to associate to any potential symbol an operator acting between sections of natural bundles (associated to irreducible representations) for a so--called AHS--structure. Outside of a finite set of critical (or resonant) weights, this procedure gives rise to a quantization, which is intrinsic to this geometric structure. In particular, this provides projectively and conformally equivariant quantizations for arbitrary symbols on general (curved) projective and conformal structures. ER -
ŠILHAN, Josef a Andreas ČAP. Equivariant quantizations for AHS-structures. \textit{Advances in Mathematics}. San Diego: Elsevier Science, 2010, roč.~224, č.~4, s.~1717-1734. ISSN~0001-8708.
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