Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky (2002, 2003, 2007). A cluster algebra of rank n is an integral domain...

complete graphs Clusterable graph, in balance theory Cluster algebra, a class of commutative rings used in representation theory Cluster expansion, a technique...

Birman–Wenzl algebra Boolean algebra Borcherds algebra Brauer algebra C*-algebra Central simple algebra Clifford algebra Cluster algebra Dendriform algebra Differential...

its relations with algebra, geometry, and representation theory. Together with Andrei Zelevinsky, he introduced cluster algebras. Fomin received his...

decomposition for affine groups. Cluster algebra This Week's Finds in Mathematical Physics, Week 186 Borel, Armand. Linear Algebraic Groups (2nd ed.). New York:...

triangulated Calabi–Yau categories to the (additive) categorification of cluster algebras. In 2013, he received an honorary degree from the University of Antwerp...

is an American mathematician known for her work on cluster algebras, tropical geometry, algebraic combinatorics, amplituhedra, and the positive Grassmannian...

basic rule to let the labels propagate dynamically. Max Glick used the cluster algebra formalism to find formulas for the iterates of the pentagram map in...

associated to a hereditary algebra A. A cluster tilted algebra arises from a tilted algebra as a certain semidirect product, and the cluster category of A summarizes...

Zelevinsky's most notable achievement is the discovery (with Sergey Fomin) of cluster algebras. His other contributions include: Bernstein–Zelevinsky classification...

copies of K we associate the identity map. This theory was related to cluster algebras by Derksen, Weyman, and Zelevinsky. To enforce commutativity of some...

(Jordan algebra), an operation on Jordan algebras that creates different Jordan algebras Mutation of a seed, in the theory of cluster algebras Apophony...

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its...

Titular C. His research deals with cluster algebras in Lie theory and their categorization, pre-projective algebras, and quivers in combination with symmetric...

in the mathematical fields algebra, representation theory, cluster algebras, cluster categories, combinatorics, Lie algebras. Currently she is a professor...

research in algebraic combinatorics, particularly her contributions on the totally nonnegative Grassmannian, her work on cluster algebras, and her proof...

specifies that a certain type of event, namely a tail event of independent σ-algebras, will either almost surely happen or almost surely not happen; that is...

dilogarithm finds applications in mathematical physics, quantum topology, cluster algebra theory. The precise relationship between the q-exponential and Φ b...

Witt vectors Hecke algebra (used in Wiles's proof of Fermat's Last Theorem) Fontaine's period rings Cluster algebra Convolution algebra (of a commutative...

In multivariate statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality...

mathematician working in noncommutative algebra, representation theory, Artin algebras, and cluster algebras. She is a professor of mathematics at Northeastern...

{\displaystyle A_{3}} root system, and the A 3 {\displaystyle A_{3}} cluster algebra. The connection with the associahedron provides a correspondence between...

Kedem's research deals with mathematical physics, Lie algebras, integrable models, and cluster algebras. In 2014 she was an invited speaker with talk Fermionic...

In mathematics, the Virasoro algebra is a complex Lie algebra and the unique central extension of the Witt algebra. It is widely used in two-dimensional...

cyclohedron belongs to the generalized associahedra that arise from cluster algebra, and to the graph-associahedra, a family of polytopes each corresponding...

areas of cluster algebras, representation theory of finite-dimensional algebras, homological algebra, tilting theory, quantum groups, algebraic groups,...

f(g)=f(hgh^{-1})} ; it is a function on conjugacy classes. cluster algebra A cluster algebra is an integral domain with some combinatorial structure on...

approaches to clustering, most of which do not employ a clustered file system (only direct attached storage for each node). Clustered file systems can...

Coupled cluster (CC) is a numerical technique used for describing many-body systems. Its most common use is as one of several post-Hartree–Fock ab initio...

several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding...