nLab Rita Fioresi

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Selected writings

On supergeometry (supermanifolds, super Lie groups, supersymmetry) from the perspective of functorial geometry:

• Claudio Carmeli, Lauren Caston, Rita Fioresi: Mathematical foundations of supersymmetry, EMS Series of Lectures in Mathematics, EMS (2011) [ems:elm/97, doi:10.4171/097, epdf, short draft: arXiv:0710.5742]
• L. Balduzzi, C. Carmeli, R. Fioresi, The local functors of points of supermanifolds, Expositiones Mathematicae 28_:3 (2010) 201–217 doi
• Rita Fioresi, M. A. Lledó, Veeravalli Varadarajan, The Minkowski and conformal superspaces, J. Math. Phys. 48:113505, 2007 (arXiv:math.RA/0609813)

With Gavarini, introduced a supergroup generalization of Chevalley groups

• Rita Fioresi, Fabio Gavarini, Chevalley supergroups, Mem. Amer. Math. Soc. 215 (2012) no. 1014, vi+64 arXiv:0808.0785
• Rita Fioresi, Fabio Gavarini, Algebraic supergroups with Lie superalgebras of classical type, Journal of Lie Group Theory 23:1 (2013) 143–158 arXiv:1106.4168

On quantum homogeneous spaces

• Nicola Ciccoli, Rita Fioresi, Fabio Gavarini, Quantization of projective homogeneous spaces and duality principle, J. Noncomm. Geom. 2:4 (2008) 449—496 doi

• Rita Fioresi, M. A. Lledó, Quantum supertwistors, Symmetry 2021, 13(7), 1241 doi

• Dalia Cervantes, Rita Fioresi, María A. Lledó, The quantum chiral Minkowski and conformal superspaces, Adv. Theor. Math. Phys. 15(2) (2011) 565–620 MR2924237 Zbl1259.46064 arXiv:0811.2137

On quantum minors:

• Rita Fioresi, Commutation relations among quantum minors in $\mathcal{O}_q(M_n(k))$, J. Algebra 280 2 (2004) 655–682 [doi arXiv:math.QA/0312057]

On fiber bundles (principal bundles, associated bundles) in supergeometry:

• Claudio Carmeli, Rita Fioresi, Veeravalli S. Varadarajan: Super Bundles, Universe 4 3 (2018) 46 [arXiv:1801.07181, doi:10.3390/universe4030046]

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