Browsing by MSC "17"

Now showing items 21-40 of 59

    • 0650 - Infinite Dimensional Lie Theory 

      [OWR-2006-55] (2006) - (10 Dec - 16 Dec 2006)
      The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of ...

    • 2218 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2022-23] (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 Four-forms and Symmetric Pairs 

      [OWP-2012-03] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
      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) 

      [OWR-2020-31] (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 - Mini-Workshop: Cohomology of Hopf Algebras and Tensor Categories 

      [OWR-2019-11] (2019) - (03 Mar - 09 Mar 2019)
      The mini-workshop 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 - Mini-Workshop: Coideal Subalgebras of Quantum Groups 

      [OWR-2015-10] (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 - Mini-Workshop: Degeneration Techniques in Representation Theory 

      [OWR-2019-46] (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 - Mini-Workshop: Generalizations of Symmetric Spaces 

      [OWR-2012-18] (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 - Mini-Workshop: Nichols Algebras and Weyl Groupoids 

      [OWR-2012-47] (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 mini-workshop, introductions ...

    • 0910c - Mini-Workshop: Non-Negativity is a Quantum Phenomenon 

      [OWR-2009-14] (2009) - (01 Mar - 07 Mar 2009)
      In recent publications, the same combinatorial description has arisen for three separate objects of interest: non-negative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the ...

    • 1609a - Mini-Workshop: PBW Structures in Representation Theory 

      [OWR-2016-13] (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 - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups 

      [OWR-2019-52] (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 - Mini-Workshop: Reflection Positivity in Representation Theory, Stochastics and Physics 

      [OWR-2014-55] (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 - Mini-Workshop: Support Varieties 

      [OWR-2009-10] (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 - Mini-Workshop: Three Facets of R-Matrices (hybrid meeting) 

      [OWR-2021-51] (2021) - (17 Oct - 23 Oct 2021)
      By definition, an $R$-matrix with spectral parameter is a solution to the Yang-Baxter 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 

      [OWP-2020-02] Krutov, Andrey; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-04)
      As is well-known, the dimension of the space of non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the ...

    • Octonion Polynomials with Values in a Subalgebra 

      [OWP-2020-21] Chapman, Adam (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-22)
      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 

      [OWP-2022-14] Appel, Andrea; Gautam, Sachin; Wendlandt, Curtis (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-02)
      We prove a no-go 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 

      [OWP-2012-14] Goodwin, Simon M.; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-04)
      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 

      [OWP-2010-09] Baur, Karin; Hille, Lutz (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-13)
      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 $P$ ...