Addendum to "Classification of irreducible holonomies of torsion-free
affine connection"
S. Merkulov, and L. Schwachhöfer. (1999)cite arxiv:math/9911266Comment: 3 pages, published version, abstract added in migration.
Abstract
The real form Spin(6,H) in End(R^32) of Spin(12,C) in End(C^32) is
absolutely irreducible and thus satisfies the algebraic identities (40) and
(41). Therefore, it also occurs as an exotic holonomy and the associated
supermanifold M_g admits a SUSY-invariant polynomial. This real form has been
erroneously omitted in our paper.
Also, the two real four-dimensional exotic holonomies, whose occurrences
were un known at the time of writing, have been shown to exist very recently
by R. Bryant.
Description
Addendum to "Classification of irreducible holonomies of torsion-free
affine connection"
%0 Generic
%1 merkulov1999addendum
%A Merkulov, Sergei
%A Schwachhöfer, Lorenz
%D 1999
%K addendum classification holonomies irreducible torsion
%T Addendum to "Classification of irreducible holonomies of torsion-free
affine connection"
%U http://arxiv.org/abs/math/9911266
%X The real form Spin(6,H) in End(R^32) of Spin(12,C) in End(C^32) is
absolutely irreducible and thus satisfies the algebraic identities (40) and
(41). Therefore, it also occurs as an exotic holonomy and the associated
supermanifold M_g admits a SUSY-invariant polynomial. This real form has been
erroneously omitted in our paper.
Also, the two real four-dimensional exotic holonomies, whose occurrences
were un known at the time of writing, have been shown to exist very recently
by R. Bryant.
@misc{merkulov1999addendum,
abstract = {The real form Spin(6,H) in End(R^{32}) of Spin(12,C) in End(C^{32}) is
absolutely irreducible and thus satisfies the algebraic identities (40) and
(41). Therefore, it also occurs as an exotic holonomy and the associated
supermanifold M_g admits a SUSY-invariant polynomial. This real form has been
erroneously omitted in our paper.
Also, the two real four-dimensional exotic holonomies, whose occurrences
were un known at the time of writing, have been shown to exist very recently
by R. Bryant.},
added-at = {2013-12-23T06:27:41.000+0100},
author = {Merkulov, Sergei and Schwachhöfer, Lorenz},
biburl = {https://www.bibsonomy.org/bibtex/249306cd5a2f0687732f4389bcfa380c7/aeu_research},
description = {Addendum to "Classification of irreducible holonomies of torsion-free
affine connection"},
interhash = {af28dc09737d0bd9352d85a83979da0a},
intrahash = {49306cd5a2f0687732f4389bcfa380c7},
keywords = {addendum classification holonomies irreducible torsion},
note = {cite arxiv:math/9911266Comment: 3 pages, published version, abstract added in migration},
timestamp = {2013-12-23T06:27:41.000+0100},
title = {Addendum to "Classification of irreducible holonomies of torsion-free
affine connection"},
url = {http://arxiv.org/abs/math/9911266},
year = 1999
}