%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 }