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Everything about Classical group
Type of group in mathematics
In mathematics, the classical groups are the matrix groups arising from finite-dimensional vector spaces and from nondegenerate bilinear, sesquilinear, quadratic, and Hermitian forms. In the traditional setting of Lie groups, this includes the real, complex, and quaternionic general linear, special linear, orthogonal, unitary, and symplectic groups, together with their indefinite analogues. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Classical groupA 5-minute orientation
- Skim a recent paper: Prognostic validation of a new classification system for extent of resection in glioblastoma: A report of the RANO resect groupInfluential work since 2022
- Pick up a classic book: The JungleThe most-reprinted book on the subject
- Read the landmark paper: An update of the Angiosperm Phylogeny Group classification for the orders and families of flowering plants: APG IVCited 5,294 times
- Go sideways: Exceptional isomorphisms of classical groupsA closely related topic
- Go sideways: Representation theory of finite groupsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
An update of the Angiosperm Phylogeny Group classification for the orders and families of flowering plants: APG IV
A revised European-American classification of lymphoid neoplasms: a proposal from the International Lymphoma Study Group [see comments]
Classification criteria for Sjögren's syndrome: a revised version of the European criteria proposed by the American-European Consensus Group
An update of the Angiosperm Phylogeny Group classification for the orders and families of flowering plants: APG III
🆕 Influential since 2022
Prognostic validation of a new classification system for extent of resection in glioblastoma: A report of the RANO resect group
Hyperspectral Image Classification Using Group-Aware Hierarchical Transformer
Revised ISHAM-ABPA working group clinical practice guidelines for diagnosing, classifying and treating allergic bronchopulmonary aspergillosis/mycoses
Bidirectional convolutional recurrent neural network architecture with group-wise enhancement mechanism for text sentiment classification
ResGANet: Residual group attention network for medical image classification and segmentation
📚 Books worth reading
The JungleUpton Sinclair · 1791
A history of New YorkWashington Irving · 1800
МыЕвгений Иванович Замятин · 1924
Les 120 Journées de SodomeMarquis de Sade · 1953
Pilote de guerreAntoine de Saint-Exupéry · 1942- 📕Classical RecordingCaroline Haigh, John Dunkerley · 2020
- 📕Communities of Musical PracticeAilbhe Kenny · 2016
Contemporary learning theoriesStephen B. Klein · 1989
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Exceptional isomorphisms of classical groups In mathematics, the exceptional isomorphisms of classical groups (also: accidental isomorphism or sporadic isogenies) are unexpected coincidences between…
- Representation theory of finite groups The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations…
- Siegel upper half-space In mathematics, given a positive integer g {\displaystyle g} , the Siegel upper half-space H g {\displaystyle {\mathcal {H}}_{g}} of degree g {\displaystyle…
- Moduli stack of elliptic curves In mathematics, the moduli stack of elliptic curves, denoted as M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} or M e l l {\displaystyle {\mathcal {M}}_{\mathrm…
- Indefinite orthogonal group In mathematics, the indefinite orthogonal group, O ( p , q ) {\displaystyle \operatorname {O} (p,q)} is the Lie group of all linear transformations of…
- Lie superalgebra In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie superalgeb…
- Abel–Jacobi map In mathematics, the Abel–Jacobi map is a construction of algebraic geometry which relates an algebraic curve to its Jacobian variety. In Riemannian geometry…
- Endomorphism ring In mathematics, the endomorphisms of an abelian group X form a ring. This ring is called the endomorphism ring of X, denoted by End(X); the set of all…