Everything about Unipotent

🧭 Start here: a 6-step reading path

1. Read the overview: UnipotentA 5-minute orientation
2. Skim a recent paper: LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONSInfluential work since 2022
3. Pick up a classic book: Unipotent Algebraic GroupsThe most-reprinted book on the subject
4. Read the landmark paper: bFGF regulates the proliferative fate of unipotent (neuronal) and bipotent (neuronal/astroglial) EGF-generated CNS progenitor cellsCited 536 times
5. Go sideways: Triangular matrixA closely related topic
6. Go sideways: Logarithm of a matrixA closely related topic

🏆 Landmark papers (most cited)

• bFGF regulates the proliferative fate of unipotent (neuronal) and bipotent (neuronal/astroglial) EGF-generated CNS progenitor cells

  Angelo L. Vescovi, Brent A. Reynolds, Douglas D. Fraser · 1993 · Neuron · 536 citations

• In vivo differentiation potential of tracheal basal cells: evidence for multipotent and unipotent subpopulations

  Kyung U. Hong, Susan D. Reynolds, Simon Watkins · 2004 · American Journal of Physiology-Lung Cellular and Molecular Physiology · 308 citations

• Monoclonal antibody 12-8 recognizes a 115-kd molecule present on both unipotent and multipotent hematopoietic colony-forming cells and their precursors

  RG Andrews, JW Singer, ID Bernstein · 1986 · Blood · 259 citations

• Multipotent and unipotent progenitors contribute to prostate postnatal development

  Marielle Ousset, Alexandra Van Keymeulen, Gaëlle Bouvencourt · 2012 · Nature Cell Biology · 221 citations

• Identification of an Early Unipotent Neutrophil Progenitor with Pro-tumoral Activity in Mouse and Human Bone Marrow

  Yanfang Peipei Zhu, Lindsey Padgett, Huy Q. Dinh · 2018 · Cell Reports · 220 citations

• Induction of Pluripotency in Adult Unipotent Germline Stem Cells

  Kinarm Ko, Natalia Tapia, Guangming Wu · 2009 · Cell Stem Cell · 213 citations

• Raghunathan’s topological conjecture and distributions of unipotent flows

  Marina Ratner · 1991 · Duke Mathematical Journal · 193 citations

• Cluster structures for 2-Calabi–Yau categories and unipotent groups

  A. B. Buan, O. Iyama, I. Reiten · 2009 · Compositio Mathematica · 168 citations

🆕 Influential since 2022

• LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS

  FRANCIS BROWN, CLÉMENT DUPONT · 2022 · Nagoya Mathematical Journal · 9 citations

• A local Langlands correspondence for unipotent representations

  Maarten Solleveld · 2023 · American Journal of Mathematics · 8 citations

• Reality of unipotent elements in classical Lie groups

  Krishnendu Gongopadhyay, Chandan Maity · 2023 · Bulletin des Sciences Mathématiques · 8 citations

• Hey2 enhancer activity defines unipotent progenitors for left ventricular cardiomyocytes in juxta-cardiac field of early mouse embryo

  Yusuke Watanabe, Yunce Wang, Yuki Tanaka · 2023 · Proceedings of the National Academy of Sciences · 8 citations

• Unipotent extensions and differential equations (after Bloch–Vlasenko)

  Matt Kerr · 2022 · Communications in Number Theory and Physics · 7 citations

📚 Books worth reading

• Unipotent Algebraic GroupsT. Kambayashi, M. Miyanishi · 2006
• Ratner's Theorems on Unipotent Flows (Chicago Lectures in Mathematics)Dave Witte Morris · 2005
• 📕Centres of centralizers of unipotent elements in simple algebraic groupsR. Lawther · 2010
• On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groupsMagdy Assem · 1998
• 📕The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristicI. D. Suprunenko · 2009
• Invariant TheoryS. S. Koh · 1987
• 📕Unipotent automorphic representationsArthur, James · 1990
• Unipotent algebraic groupsTatsuji Kambayashi · 1974

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Triangular matrix In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal…
• Logarithm of a matrix In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus…
• Nilpotent matrix In linear algebra, a nilpotent matrix is a square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some positive integer k {\displaystyle k} .…
• Linear algebraic group In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication)…
• Special linear Lie algebra In mathematics, the special linear Lie algebra of order n {\displaystyle n} over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak…
• Zero matrix In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix all of whose entries are zero. It also serves as the additive identity…
• Spectrum of a ring In mathematics, and more specifically in commutative algebra and algebraic geometry, the prime spectrum (or simply the spectrum) of a commutative ring…
• Iwasawa decomposition In mathematics, the Iwasawa decomposition (aka KAN from its expression) of a semisimple Lie group generalises the way a square real matrix can be written…