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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 and Andreas ČAP. Equivariant quantizations for AHS-structures. \textit{Advances in Mathematics}. San Diego: Elsevier Science, 2010, vol.~224, No~4, p.~1717-1734. ISSN~0001-8708.
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