Browsing by MSC "17"
Now showing items 2140 of 58

0650  Infinite Dimensional Lie Theory
[OWR200655] (2006)  (10 Dec  16 Dec 2006)The workshop focussed on recent developments in infinitedimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinitedimensional Lie algebras, geometry of ... 
2218  Interactions between Algebraic Geometry and Noncommutative Algebra
[OWR202223] (2022)  (01 May  07 May 2022)This workshop was on the interactions between noncommutative algebra, representation theory and algebraic geometry. The major objective was to bring together researchers from those areas with the focus on topics and ... 
Invariant Fourforms and Symmetric Pairs
[OWP201203] (Mathematisches Forschungsinstitut Oberwolfach, 20120424)We give criteria for real, complex and quaternionic representations to define $s$representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ... 
2040a  Lefschetz Properties in Algebra, Geometry and Combinatorics (hybrid meeting)
[OWR202031] (2020)  (27 Sep  03 Oct 2020)The themes of the workshop are the Weak Lefschetz Property  WLP  and the Strong Lefschetz Property  SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective ... 
1910c  MiniWorkshop: Cohomology of Hopf Algebras and Tensor Categories
[OWR201911] (2019)  (03 Mar  09 Mar 2019)The miniworkshop featured some open questions about the cohomology of Hopf algebras and tensor categories. Questions included whether the cohomology ring of a finite dimensional Hopf algebra or a finite tensor ... 
1508b  MiniWorkshop: Coideal Subalgebras of Quantum Groups
[OWR201510] (2015)  (15 Feb  21 Feb 2015)Coideal subalgebras of quantized enveloping algebras appear naturally if one considers quantum group analogs of Lie subalgebras. Examples appear in the theory of quantum integrable systems with boundary and in harmonic ... 
1941b  MiniWorkshop: Degeneration Techniques in Representation Theory
[OWR201946] (2019)  (06 Oct  12 Oct 2019)Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest ... 
1215a  MiniWorkshop: Generalizations of Symmetric Spaces
[OWR201218] (2012)  (08 Apr  14 Apr 2012)This workshop brought together experts from the areas of algebraic Lie theory, invariant theory, Kac–Moody theory and the theories of Tits buildings and of symmetric spaces. The main focus was on topics related to symmetric ... 
1240a  MiniWorkshop: Nichols Algebras and Weyl Groupoids
[OWR201247] (2012)  (30 Sep  06 Oct 2012)Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the miniworkshop, introductions ... 
0910c  MiniWorkshop: NonNegativity is a Quantum Phenomenon
[OWR200914] (2009)  (01 Mar  07 Mar 2009)In recent publications, the same combinatorial description has arisen for three separate objects of interest: nonnegative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the ... 
1609a  MiniWorkshop: PBW Structures in Representation Theory
[OWR201613] (2016)  (28 Feb  05 Mar 2016)The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications. The main goal of the workshop was to bring together ... 
1946b  MiniWorkshop: Rank One Groups and Exceptional Algebraic Groups
[OWR201952] (2019)  (10 Nov  16 Nov 2019)Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $ \operatorname{SL}_2(k) $. The most interesting examples arise from exceptional algebraic groups of relative rank ... 
1449c  MiniWorkshop: Reflection Positivity in Representation Theory, Stochastics and Physics
[OWR201455] (2014)  (30 Nov  06 Dec 2014)The central focus of the workshop was reflection positivity, its occurrence in physics, representation theory, abstract harmonic analysis, and stochastic analysis. The program was intrinsically interdisciplinary and included ... 
0908c  MiniWorkshop: Support Varieties
[OWR200910] (2009)  (15 Feb  21 Feb 2009)The notion of support is a fundamental concept which provides a geometric approach for studying various algebraic structures. The prototype for this has been Quillen’s description of the algebraic variety corresponding to ... 
2142a  MiniWorkshop: Three Facets of RMatrices (hybrid meeting)
[OWR202151] (2021)  (17 Oct  23 Oct 2021)By definition, an $R$matrix with spectral parameter is a solution to the YangBaxter equation, introduced in the 1970's by C.N. Yang and R.J. Baxter. Such a matrix encodes the Boltzmann weights of a lattice model of ... 
Nondegenerate Invariant Symmetric Bilinear Forms on Simple Lie Superalgebras in Characteristic 2
[OWP202002] (Mathematisches Forschungsinstitut Oberwolfach, 20200204)As is wellknown, the dimension of the space of nondegenerate invariant symmetric bilinear forms (NISes) on any simple finitedimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the ... 
Octonion Polynomials with Values in a Subalgebra
[OWP202021] (Mathematisches Forschungsinstitut Oberwolfach, 20201022)In this paper, we prove that given an octonion algebra $A$ over a field $F$, a subring $E \subseteq F$ and an octonion $E$algebra $R$ inside $A$, the set $S$ of polynomials $f(x) \in A[x]$ satisfying $f(R) \subseteq R$ ... 
On a Conjecture of Khoroshkin and Tolstoy
[OWP202214] (Mathematisches Forschungsinstitut Oberwolfach, 20220802)We prove a nogo theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from ... 
On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras
[OWP201214] (Mathematisches Forschungsinstitut Oberwolfach, 20121204)Let $G$ be a connected reductive algebraic group defined over an algebraically closed field $\mathbb{k}$ of characteristic zero. We consider the commuting variety $\mathcal{C}(\mathfrak{u})$ of the nilradical $\mathfrak{u}$ ... 
On the Complement of the Richardson Orbit
[OWP201009] (Mathematisches Forschungsinstitut Oberwolfach, 20100313)We consider parabolic subgroups of a general algebraic group over an algebraically closed field $k$ whose Levi part has exactly $t$ factors. By a classical theorem of Richardson, the nilradical of a parabolic subgroup $P$ ...